### 2013

A Safavi-Naini, c S G Söyler, G Pupillo, H R Sadeghpour, B Capogrosso-Sansone

Quantum Phases of Dipolar Bosons in Bilayer Geometry Journal Article

New Journal of Physics, 15 (1), pp. 013036, 2013, ISSN: 1367-2630.

Abstract | Links | BibTeX | Tags:

@article{Safavi-Naini2013,

title = {Quantum Phases of Dipolar Bosons in Bilayer Geometry},

author = {A {Safavi-Naini} and {c S} G Söyler and G Pupillo and H R Sadeghpour and B {Capogrosso-Sansone}},

doi = {10.1088/1367-2630/15/1/013036},

issn = {1367-2630},

year = {2013},

date = {2013-01-01},

journal = {New Journal of Physics},

volume = {15},

number = {1},

pages = {013036},

abstract = {We investigate the quantum phases of hard-core dipolar bosons confined to a square lattice in a bilayer geometry. Using exact theoretical techniques, we discuss the many-body effects resulting from the pairing of particles across layers at finite density, including a novel pair supersolid, superfluid and solid phases. These results are of direct relevance to experiments with polar molecules and atoms with large magnetic dipole moments trapped in optical lattices.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

We investigate the quantum phases of hard-core dipolar bosons confined to a square lattice in a bilayer geometry. Using exact theoretical techniques, we discuss the many-body effects resulting from the pairing of particles across layers at finite density, including a novel pair supersolid, superfluid and solid phases. These results are of direct relevance to experiments with polar molecules and atoms with large magnetic dipole moments trapped in optical lattices.
### 2012

A W Glaetzle, R Nath, B Zhao, G Pupillo, P Zoller

Driven-Dissipative Dynamics of a Strongly Interacting Rydberg Gas Journal Article

Physical Review A, 86 (4), pp. 043403, 2012.

Abstract | Links | BibTeX | Tags:

@article{Glaetzle2012,

title = {Driven-Dissipative Dynamics of a Strongly Interacting Rydberg Gas},

author = {A W Glaetzle and R Nath and B Zhao and G Pupillo and P Zoller},

doi = {10.1103/PhysRevA.86.043403},

year = {2012},

date = {2012-10-01},

journal = {Physical Review A},

volume = {86},

number = {4},

pages = {043403},

abstract = {We study the nonequilibrium many-body dynamics of a cold gas of ground-state alkali-metal atoms weakly admixed by Rydberg states with laser light. On a time scale shorter than the lifetime of the dressed states, effective dipole-dipole or van der Waals interactions between atoms can lead to the formation of strongly correlated phases, such as atomic crystals. Using a semiclassical approach, we study the long-time dynamics where decoherence and dissipative processes due to spontaneous emission and blackbody radiation dominate, leading to heating and melting of atomic crystals as well as particle losses. These effects can be substantially mitigated by performing active laser cooling in the presence of atomic dressing.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

We study the nonequilibrium many-body dynamics of a cold gas of ground-state alkali-metal atoms weakly admixed by Rydberg states with laser light. On a time scale shorter than the lifetime of the dressed states, effective dipole-dipole or van der Waals interactions between atoms can lead to the formation of strongly correlated phases, such as atomic crystals. Using a semiclassical approach, we study the long-time dynamics where decoherence and dissipative processes due to spontaneous emission and blackbody radiation dominate, leading to heating and melting of atomic crystals as well as particle losses. These effects can be substantially mitigated by performing active laser cooling in the presence of atomic dressing.M A Baranov, M Dalmonte, G Pupillo, P Zoller

Condensed Matter Theory of Dipolar Quantum Gases Journal Article

Chemical Reviews, 112 (9), pp. 5012-5061, 2012, ISSN: 0009-2665.

Links | BibTeX | Tags: Condensed Matter - Quantum Gases, Condensed Matter - Strongly Correlated Electrons

@article{Baranov2012,

title = {Condensed Matter Theory of Dipolar Quantum Gases},

author = {M A Baranov and M Dalmonte and G Pupillo and P Zoller},

doi = {10.1021/cr2003568},

issn = {0009-2665},

year = {2012},

date = {2012-09-01},

journal = {Chemical Reviews},

volume = {112},

number = {9},

pages = {5012-5061},

keywords = {Condensed Matter - Quantum Gases, Condensed Matter - Strongly Correlated Electrons},

pubstate = {published},

tppubtype = {article}

}

Markus Müller, Sebastian Diehl, Guido Pupillo, Peter Zoller

Engineered Open Systems and Quantum Simulations with Atoms and Ions Incollection

Berman, Paul; Arimondo, Ennio; Lin, Chun (Ed.): Advances In Atomic, Molecular, and Optical Physics, 61 , pp. 1-80, Academic Press, 2012.

Abstract | Links | BibTeX | Tags: Atomic physics, Open quantum systems, Quantum phase transitions, Quantum simulation, Topological phases of matter, Trapped ions, Unconventional pairing mechanisms

@incollection{Muller2012,

title = {Engineered Open Systems and Quantum Simulations with Atoms and Ions},

author = {Markus Müller and Sebastian Diehl and Guido Pupillo and Peter Zoller},

editor = {Paul Berman and Ennio Arimondo and Chun Lin},

doi = {10.1016/B978-0-12-396482-3.00001-6},

year = {2012},

date = {2012-07-01},

booktitle = {Advances In Atomic, Molecular, and Optical Physics},

volume = {61},

pages = {1-80},

publisher = {Academic Press},

series = {Advances in Atomic, Molecular, and Optical Physics},

abstract = {The enormous experimental progress in atomic, molecular, and optical (AMO) physics during the last decades allows us nowadays to isolate single, a few or even many-body ensembles of microscopic particles, and to manipulate their quantum properties at a level of precision, which still seemed unthinkable some years ago. This versatile set of tools has enabled the development of the well-established concept of engineering of many-body Hamiltonians in various physical platforms. These available tools, however, can also be harnessed to extend the scenario of Hamiltonian engineering to a more general Liouvillian setting, which in addition to coherent dynamics also includes controlled dissipation in many-body quantum systems. Here, we review recent theoretical and experimental progress in different directions along these lines, with a particular focus on physical realizations with systems of atoms and ions. This comprises digital quantum simulations in a general open system setting, as well as engineering and understanding new classes of systems far away from thermodynamic equilibrium. In the context of digital quantum simulation, we first outline the basic concepts and illustrate them on the basis of a recent experiment with trapped ions. We also discuss theoretical work proposing an intrinsically scalable simulation architecture for spin models with high-order interactions such as Kitaev's toric code, based on Rydberg atoms stored in optical lattices. We then turn to the digital simulation of dissipative many-body dynamics, pointing out a route for the general quantum state preparation in complex spin models, and discuss a recent experiment demonstrating the basic building blocks of a full-fledged open-system quantum simulator. In view of creating novel classes of out-of-equilibrium systems, we focus on ultracold atoms. We point out how quantum mechanical long-range order can be established via engineered dissipation, and present genuine many-body aspects of this setting: in the context of bosons, we discuss dynamical phase transitions resulting from competing Hamiltonian and dissipative dynamics. In the context of fermions, we present a purely dissipative pairing mechanism, and show how this could pave the way for the quantum simulation of the Fermi–Hubbard model. We also propose and analyze the key properties of dissipatively targeted topological phases of matter.},

keywords = {Atomic physics, Open quantum systems, Quantum phase transitions, Quantum simulation, Topological phases of matter, Trapped ions, Unconventional pairing mechanisms},

pubstate = {published},

tppubtype = {incollection}

}

The enormous experimental progress in atomic, molecular, and optical (AMO) physics during the last decades allows us nowadays to isolate single, a few or even many-body ensembles of microscopic particles, and to manipulate their quantum properties at a level of precision, which still seemed unthinkable some years ago. This versatile set of tools has enabled the development of the well-established concept of engineering of many-body Hamiltonians in various physical platforms. These available tools, however, can also be harnessed to extend the scenario of Hamiltonian engineering to a more general Liouvillian setting, which in addition to coherent dynamics also includes controlled dissipation in many-body quantum systems. Here, we review recent theoretical and experimental progress in different directions along these lines, with a particular focus on physical realizations with systems of atoms and ions. This comprises digital quantum simulations in a general open system setting, as well as engineering and understanding new classes of systems far away from thermodynamic equilibrium. In the context of digital quantum simulation, we first outline the basic concepts and illustrate them on the basis of a recent experiment with trapped ions. We also discuss theoretical work proposing an intrinsically scalable simulation architecture for spin models with high-order interactions such as Kitaev's toric code, based on Rydberg atoms stored in optical lattices. We then turn to the digital simulation of dissipative many-body dynamics, pointing out a route for the general quantum state preparation in complex spin models, and discuss a recent experiment demonstrating the basic building blocks of a full-fledged open-system quantum simulator. In view of creating novel classes of out-of-equilibrium systems, we focus on ultracold atoms. We point out how quantum mechanical long-range order can be established via engineered dissipation, and present genuine many-body aspects of this setting: in the context of bosons, we discuss dynamical phase transitions resulting from competing Hamiltonian and dissipative dynamics. In the context of fermions, we present a purely dissipative pairing mechanism, and show how this could pave the way for the quantum simulation of the Fermi–Hubbard model. We also propose and analyze the key properties of dissipatively targeted topological phases of matter.N Henkel, F Cinti, P Jain, G Pupillo, T Pohl

Supersolid Vortex Crystals in Rydberg-Dressed Bose-Einstein Condensates Journal Article

Physical Review Letters, 108 (26), pp. 265301, 2012.

Abstract | Links | BibTeX | Tags:

@article{Henkel2012,

title = {Supersolid Vortex Crystals in Rydberg-Dressed Bose-Einstein Condensates},

author = {N Henkel and F Cinti and P Jain and G Pupillo and T Pohl},

doi = {10.1103/PhysRevLett.108.265301},

year = {2012},

date = {2012-06-01},

journal = {Physical Review Letters},

volume = {108},

number = {26},

pages = {265301},

abstract = {We study rotating quasi-two-dimensional Bose–Einstein condensates, in which atoms are dressed to a highly excited Rydberg state. This leads to weak effective interactions that induce a transition to a mesoscopic supersolid state. Considering slow rotation, we determine its superfluidity using quantum Monte Carlo simulations as well as mean field calculations. For rapid rotation, the latter reveal an interesting competition between the supersolid crystal structure and the rotation-induced vortex lattice that gives rise to new phases, including arrays of mesoscopic vortex crystals.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

We study rotating quasi-two-dimensional Bose–Einstein condensates, in which atoms are dressed to a highly excited Rydberg state. This leads to weak effective interactions that induce a transition to a mesoscopic supersolid state. Considering slow rotation, we determine its superfluidity using quantum Monte Carlo simulations as well as mean field calculations. For rapid rotation, the latter reveal an interesting competition between the supersolid crystal structure and the rotation-induced vortex lattice that gives rise to new phases, including arrays of mesoscopic vortex crystals.B Zhao, A W Glaetzle, G Pupillo, P Zoller

Atomic Rydberg Reservoirs for Polar Molecules Journal Article

Physical Review Letters, 108 (19), pp. 193007, 2012.

Abstract | Links | BibTeX | Tags:

@article{Zhao2012,

title = {Atomic Rydberg Reservoirs for Polar Molecules},

author = {B Zhao and A W Glaetzle and G Pupillo and P Zoller},

doi = {10.1103/PhysRevLett.108.193007},

year = {2012},

date = {2012-05-01},

journal = {Physical Review Letters},

volume = {108},

number = {19},

pages = {193007},

abstract = {We discuss laser-dressed dipolar and van der Waals interactions between atoms and polar molecules, so that a cold atomic gas with laser admixed Rydberg levels acts as a designed reservoir for both elastic and inelastic collisional processes. The elastic scattering channel is characterized by large elastic scattering cross sections and repulsive shields to protect from close encounter collisions. In addition, we discuss a dissipative (inelastic) collision where a spontaneously emitted photon carries away (kinetic) energy of the collision partners, thus providing a significant energy loss in a single collision. This leads to the scenario of rapid thermalization and cooling of a molecule in the mK down to the $mu$K regime by cold atoms.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

We discuss laser-dressed dipolar and van der Waals interactions between atoms and polar molecules, so that a cold atomic gas with laser admixed Rydberg levels acts as a designed reservoir for both elastic and inelastic collisional processes. The elastic scattering channel is characterized by large elastic scattering cross sections and repulsive shields to protect from close encounter collisions. In addition, we discuss a dissipative (inelastic) collision where a spontaneously emitted photon carries away (kinetic) energy of the collision partners, thus providing a significant energy loss in a single collision. This leads to the scenario of rapid thermalization and cooling of a molecule in the mK down to the $mu$K regime by cold atoms.
### 2010

F Cinti, P Jain, M Boninsegni, A Micheli, P Zoller, G Pupillo

Supersolid Droplet Crystal in a Dipole-Blockaded Gas Journal Article

Physical Review Letters, 105 (13), pp. 135301, 2010.

Abstract | Links | BibTeX | Tags:

@article{Cinti2010,

title = {Supersolid Droplet Crystal in a Dipole-Blockaded Gas},

author = {F Cinti and P Jain and M Boninsegni and A Micheli and P Zoller and G Pupillo},

doi = {10.1103/PhysRevLett.105.135301},

year = {2010},

date = {2010-09-01},

journal = {Physical Review Letters},

volume = {105},

number = {13},

pages = {135301},

abstract = {A novel supersolid phase is predicted for an ensemble of Rydberg atoms in the dipole-blockade regime, interacting via a repulsive dipolar potential softened at short distances. Using exact numerical techniques, we study the low-temperature phase diagram of this system, and observe an intriguing phase consisting of a crystal of mesoscopic superfluid droplets. At low temperature, phase coherence throughout the whole system, and the ensuing bulk superfluidity, are established through tunnelling of identical particles between neighboring droplets.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

A novel supersolid phase is predicted for an ensemble of Rydberg atoms in the dipole-blockade regime, interacting via a repulsive dipolar potential softened at short distances. Using exact numerical techniques, we study the low-temperature phase diagram of this system, and observe an intriguing phase consisting of a crystal of mesoscopic superfluid droplets. At low temperature, phase coherence throughout the whole system, and the ensuing bulk superfluidity, are established through tunnelling of identical particles between neighboring droplets.G Pupillo, A Micheli, M Boninsegni, I Lesanovsky, P Zoller

Strongly Correlated Gases of Rydberg-Dressed Atoms: Quantum and Classical Dynamics Journal Article

Physical Review Letters, 104 (22), pp. 223002, 2010.

Abstract | Links | BibTeX | Tags:

@article{Pupillo2010,

title = {Strongly Correlated Gases of Rydberg-Dressed Atoms: Quantum and Classical Dynamics},

author = {G Pupillo and A Micheli and M Boninsegni and I Lesanovsky and P Zoller},

doi = {10.1103/PhysRevLett.104.223002},

year = {2010},

date = {2010-06-01},

journal = {Physical Review Letters},

volume = {104},

number = {22},

pages = {223002},

abstract = {We discuss techniques to generate long-range interactions in a gas of ground state alkali atoms, by weakly admixing excited Rydberg states with laser light. This provides a tool to engineer strongly correlated phases with reduced decoherence from inelastic collisions and spontaneous emission. As an illustration, we discuss the quantum phases of dressed atoms with dipole-dipole interactions confined in a harmonic potential, as relevant to experiments. We show that residual spontaneous emission from the Rydberg state acts as a heating mechanism, leading to a quantum-classical crossover.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

We discuss techniques to generate long-range interactions in a gas of ground state alkali atoms, by weakly admixing excited Rydberg states with laser light. This provides a tool to engineer strongly correlated phases with reduced decoherence from inelastic collisions and spontaneous emission. As an illustration, we discuss the quantum phases of dressed atoms with dipole-dipole interactions confined in a harmonic potential, as relevant to experiments. We show that residual spontaneous emission from the Rydberg state acts as a heating mechanism, leading to a quantum-classical crossover.M Dalmonte, G Pupillo, P Zoller

One-Dimensional Quantum Liquids with Power-Law Interactions: The Luttinger Staircase Journal Article

Physical Review Letters, 105 (14), pp. 140401, 2010.

Abstract | Links | BibTeX | Tags:

@article{Dalmonte2010,

title = {One-Dimensional Quantum Liquids with Power-Law Interactions: The Luttinger Staircase},

author = {M Dalmonte and G Pupillo and P Zoller},

doi = {10.1103/PhysRevLett.105.140401},

year = {2010},

date = {2010-01-01},

journal = {Physical Review Letters},

volume = {105},

number = {14},

pages = {140401},

abstract = {We study one-dimensional fermionic and bosonic gases with repulsive power-law interactions 1/|x|$beta$, with $beta>$1, in the framework of Tomonaga-Luttinger liquid (TLL) theory. We obtain an accurate analytical expression linking the TLL parameter to the microscopic Hamiltonian, for arbitrary $beta$ and strength of the interactions. In the presence of a small periodic potential, power-law interactions make the TLL unstable towards the formation of a cascade of lattice solids with fractional filling, a ``Luttinger staircase.'' Several of these quantum phases and phase transitions are realized with ground state polar molecules and weakly bound magnetic Feshbach molecules.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

We study one-dimensional fermionic and bosonic gases with repulsive power-law interactions 1/|x|$beta$, with $beta>$1, in the framework of Tomonaga-Luttinger liquid (TLL) theory. We obtain an accurate analytical expression linking the TLL parameter to the microscopic Hamiltonian, for arbitrary $beta$ and strength of the interactions. In the presence of a small periodic potential, power-law interactions make the TLL unstable towards the formation of a cascade of lattice solids with fractional filling, a ``Luttinger staircase.'' Several of these quantum phases and phase transitions are realized with ground state polar molecules and weakly bound magnetic Feshbach molecules.B Capogrosso-Sansone, C Trefzger, M Lewenstein, P Zoller, G Pupillo

Quantum Phases of Cold Polar Molecules in 2D Optical Lattices Journal Article

Physical Review Letters, 104 (12), pp. 125301, 2010.

Abstract | Links | BibTeX | Tags:

@article{Capogrosso-Sansone2010,

title = {Quantum Phases of Cold Polar Molecules in 2D Optical Lattices},

author = {B {Capogrosso-Sansone} and C Trefzger and M Lewenstein and P Zoller and G Pupillo},

doi = {10.1103/PhysRevLett.104.125301},

year = {2010},

date = {2010-01-01},

journal = {Physical Review Letters},

volume = {104},

number = {12},

pages = {125301},

abstract = {We study the quantum phases of hard-core bosonic polar molecules on a two-dimensional square lattice interacting via repulsive dipole-dipole interactions. In the limit of small tunneling, we find evidence for a devil's staircase, where Mott solids appear at rational fillings of the lattice. For finite tunneling, we establish the existence of extended regions of parameters where the ground state is a supersolid, obtained by doping the solids either with particles or vacancies. We discuss the effects of finite temperature and finite-size confining potentials as relevant to experiments.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

We study the quantum phases of hard-core bosonic polar molecules on a two-dimensional square lattice interacting via repulsive dipole-dipole interactions. In the limit of small tunneling, we find evidence for a devil's staircase, where Mott solids appear at rational fillings of the lattice. For finite tunneling, we establish the existence of extended regions of parameters where the ground state is a supersolid, obtained by doping the solids either with particles or vacancies. We discuss the effects of finite temperature and finite-size confining potentials as relevant to experiments.
### 2009

G Pupillo, A Micheli, M Boninsegni, I Lesanovsky, P Zoller

Mesoscopic Phases of Dipolar Ensembles with Polar Molecules and Rydberg Atoms Journal Article

arXiv:0904.2735 [cond-mat], 2009.

Abstract | BibTeX | Tags: Condensed Matter - Quantum Gases, Condensed Matter - Statistical Mechanics

@article{Pupillo2009,

title = {Mesoscopic Phases of Dipolar Ensembles with Polar Molecules and Rydberg Atoms},

author = {G Pupillo and A Micheli and M Boninsegni and I Lesanovsky and P Zoller},

year = {2009},

date = {2009-04-01},

journal = {arXiv:0904.2735 [cond-mat]},

abstract = {We discuss the realization of mesoscopic phases of dipolar gases relevant to current experiments with cold polar molecules and Rydberg atoms confined to two dimensions. We predict the existence of superfluid clusters, mesoscopic supersolids, and crystals for a small number of trapped particles, with no counterpart in the homogeneous situation. For certain strengths of the dipole-dipole interactions, the stabilization of purely $backslash$it non-classical crystals by quantum fluctuations is possible. We propose a magnification scheme to detect the spatial structure of these crystalline phases.},

keywords = {Condensed Matter - Quantum Gases, Condensed Matter - Statistical Mechanics},

pubstate = {published},

tppubtype = {article}

}

We discuss the realization of mesoscopic phases of dipolar gases relevant to current experiments with cold polar molecules and Rydberg atoms confined to two dimensions. We predict the existence of superfluid clusters, mesoscopic supersolids, and crystals for a small number of trapped particles, with no counterpart in the homogeneous situation. For certain strengths of the dipole-dipole interactions, the stabilization of purely $backslash$it non-classical crystals by quantum fluctuations is possible. We propose a magnification scheme to detect the spatial structure of these crystalline phases.
### 2007

H P Büchler, E Demler, M Lukin, A Micheli, N Prokof'ev, G Pupillo, P Zoller

Strongly Correlated 2D Quantum Phases with Cold Polar Molecules: Controlling the Shape of the Interaction Potential Journal Article

Physical Review Letters, 98 (6), pp. 060404, 2007.

Abstract | Links | BibTeX | Tags:

@article{Buchler2007,

title = {Strongly Correlated 2D Quantum Phases with Cold Polar Molecules: Controlling the Shape of the Interaction Potential},

author = {H P Büchler and E Demler and M Lukin and A Micheli and N Prokof'ev and G Pupillo and P Zoller},

doi = {10.1103/PhysRevLett.98.060404},

year = {2007},

date = {2007-01-01},

journal = {Physical Review Letters},

volume = {98},

number = {6},

pages = {060404},

abstract = {We discuss techniques to tune and shape the long-range part of the interaction potentials in quantum gases of bosonic polar molecules by dressing rotational excitations with static and microwave fields. This provides a novel tool towards engineering strongly correlated quantum phases in combination with low-dimensional trapping geometries. As an illustration, we discuss the 2D superfluid-crystal quantum phase transition for polar molecules interacting via an electric-field-induced dipole-dipole potential.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

We discuss techniques to tune and shape the long-range part of the interaction potentials in quantum gases of bosonic polar molecules by dressing rotational excitations with static and microwave fields. This provides a novel tool towards engineering strongly correlated quantum phases in combination with low-dimensional trapping geometries. As an illustration, we discuss the 2D superfluid-crystal quantum phase transition for polar molecules interacting via an electric-field-induced dipole-dipole potential.

# Publications

### 2013

Quantum Phases of Dipolar Bosons in Bilayer Geometry Journal Article

New Journal of Physics, 15 (1), pp. 013036, 2013, ISSN: 1367-2630.

### 2012

Driven-Dissipative Dynamics of a Strongly Interacting Rydberg Gas Journal Article

Physical Review A, 86 (4), pp. 043403, 2012.

Condensed Matter Theory of Dipolar Quantum Gases Journal Article

Chemical Reviews, 112 (9), pp. 5012-5061, 2012, ISSN: 0009-2665.

Engineered Open Systems and Quantum Simulations with Atoms and Ions Incollection

Berman, Paul; Arimondo, Ennio; Lin, Chun (Ed.): Advances In Atomic, Molecular, and Optical Physics, 61 , pp. 1-80, Academic Press, 2012.

Supersolid Vortex Crystals in Rydberg-Dressed Bose-Einstein Condensates Journal Article

Physical Review Letters, 108 (26), pp. 265301, 2012.

Atomic Rydberg Reservoirs for Polar Molecules Journal Article

Physical Review Letters, 108 (19), pp. 193007, 2012.

### 2010

Supersolid Droplet Crystal in a Dipole-Blockaded Gas Journal Article

Physical Review Letters, 105 (13), pp. 135301, 2010.

Strongly Correlated Gases of Rydberg-Dressed Atoms: Quantum and Classical Dynamics Journal Article

Physical Review Letters, 104 (22), pp. 223002, 2010.

One-Dimensional Quantum Liquids with Power-Law Interactions: The Luttinger Staircase Journal Article

Physical Review Letters, 105 (14), pp. 140401, 2010.

Quantum Phases of Cold Polar Molecules in 2D Optical Lattices Journal Article

Physical Review Letters, 104 (12), pp. 125301, 2010.

### 2009

Mesoscopic Phases of Dipolar Ensembles with Polar Molecules and Rydberg Atoms Journal Article

arXiv:0904.2735 [cond-mat], 2009.

### 2007

Strongly Correlated 2D Quantum Phases with Cold Polar Molecules: Controlling the Shape of the Interaction Potential Journal Article

Physical Review Letters, 98 (6), pp. 060404, 2007.