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Bosonic atoms confined in optical lattices can exist in two different phases, Mott-insulator and superfluid, depending on the strength of the system parameters, such as the on-site interaction between particles and the hopping parameter.…

We analyse a laser assisted sympathetic cooling scheme for atoms within the lowest Bloch band of an optical lattice. This scheme borrows ideas from sub-recoil laser cooling, implementing them in a new context in which the atoms in the…

Other Condensed Matter · Physics 2009-01-15 A. Griessner , A. J. Daley , S. R. Clark , D. Jaksch , P. Zoller

Ever since the first observation of Bose-Einstein condensation in the nineties, ultracold quantum gases have been the subject of intense research, providing a unique tool to understand the behavior of matter governed by the laws of quantum…

Quantum Gases · Physics 2021-03-18 Santi Prestipino

As highly tunable interacting systems, cold atoms in optical lattices are ideal to realize and observe negative absolute temperatures, T < 0. We show theoretically that by reversing the confining potential, stable superfluid condensates at…

Quantum Gases · Physics 2010-11-29 Akos Rapp , Stephan Mandt , Achim Rosch

Cold atoms confined in periodic potentials are remarkably versatile quantum systems for implementing simple models prevalent in condensed matter theory. In the current experiment, we realize the 2D Bose-Hubbard model by loading a…

Other Condensed Matter · Physics 2012-12-24 I. B. Spielman , W. D. Phillips , J. V. Porto

We present two approaches capable of describing the dynamics of an interacting many body system on a lattice coupled globally to a dissipative bosonic mode. Physical realizations are for example ultracold atom gases in optical lattice…

Quantum Gases · Physics 2020-11-20 Catalin-Mihai Halati , Ameneh Sheikhan , Corinna Kollath

For general quantum systems the power expansion of the Gibbs potential and consequently the power expansion of the self energy is derived in terms of the interaction strength. Employing a generalization of the projector technique a compact…

Statistical Mechanics · Physics 2019-07-18 T. Plefka

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We investigate the out-of-equilibrium dynamics of ultracold atoms trapped in an optical lattice and loaded into an optical resonator that is driven transversely. We derive an effective quantum master equation for weak atom-light coupling…

Quantum Gases · Physics 2018-05-22 Ezequiel Rodríguez Chiacchio , Andreas Nunnenkamp

We numerically study a Bose-Hubbard ring of finite size with disorder containing a finite number of bosons that are subject to an on-site two-body interaction. Our results show that moderate interactions induce dynamical thermalization in…

Quantum Gases · Physics 2016-01-27 Peter Schlagheck , Dima L. Shepelyansky

We study the spin--boson model with a sub--Ohmic bath using infinitesimal unitary transformations. Contrary to some results reported in the literature we find a zero temperature transition from an untrapped state for small coupling to a…

Condensed Matter · Physics 2009-10-28 Stefan Kehrein , Andreas Mielke

When two initially thermal many-body systems start interacting strongly, their transient states quickly become non-Gibbsian, even if the systems eventually equilibrate. To see beyond this apparent lack of structure during the transient…

Quantum Physics · Physics 2023-08-15 Karen V. Hovhannisyan , Somayyeh Nemati , Carsten Henkel , Janet Anders

Experiments with cold atoms trapped in optical lattices offer the potential to realize a variety of novel phases but suffer from severe spatial inhomogeneity that can obscure signatures of new phases of matter and phase boundaries. We use a…

Other Condensed Matter · Physics 2009-11-13 V. W. Scarola , L. Pollet , J. Oitmaa , M. Troyer

We consider the physics of lattice bosons affected by disordered on-site interparticle interactions. Characteristic qualitative changes in the zero temperature phase diagram are observed when compared to the case of randomness in the…

Other Condensed Matter · Physics 2009-11-11 H. Gimperlein , S. Wessel , J. Schmiedmayer , L. Santos

Ultracold atoms in optical lattices are versatile testbeds to study and manipulate equilibrium and out-of-equilibrium aspects of quantum many-body systems whose behavior can be described by Hubbard-type Hamiltonians. In this paper, we…

Quantum Gases · Physics 2025-08-05 Tista Banerjee

We present an exact study of the finite-temperature properties of hard-core bosons (HCB's) confined on one-dimensional optical lattices. Our solution of the HCB problem is based on the Jordan-Wigner transformation and properties of Slater…

Statistical Mechanics · Physics 2007-05-23 Marcos Rigol

We have studied thermodynamic properties of noninteracting gases in periodic lattice potential at arbitrary integer fillings and compared them with that of ideal homogeneous gases. Deriving explicit expressions for thermodynamic quantities…

Quantum Gases · Physics 2015-07-10 Abdulla Rakhimov , Iman N. Askerzade

We investigate thermodynamic properties of lattice Bose gases in optical cavities in the Mott-insulator limit. We find the system assumes anomalous thermodynamic behavior that can be traced back to the breaking of fundamental additivity by…

Quantum Gases · Physics 2020-03-19 Liang He , Su Yi

In generic classical and quantum many-body systems, where typically energy and particle number are the only conserved quantities, stationary states are described by thermal equilibrium. In contrast, integrable systems showcase an infinite…

Quantum Gases · Physics 2026-01-13 Alvise Bastianello , Alexey Tikan , Francois Copie , Stephane Randoux , Pierre Suret

The extended Bose-Hubbard model captures the essential properties of a wide variety of physical systems including ultracold atoms and molecules in optical lattices, Josephson junction arrays, and certain narrow band superconductors. It…

Other Condensed Matter · Physics 2017-10-25 Fei Lin , T. A. Maier , V. W. Scarola
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