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The Mott insulating phase of a one-dimensional bosonic gas trapped in optical lattices is described by a Bose-Hubbard model. A continuous unitary transformation is used to map this model onto an effective model conserving the number of…

Statistical Mechanics · Physics 2009-11-11 A. Reischl , K. P. Schmidt , G. S. Uhrig

Optical box traps for cold atoms offer new possibilities for quantum-gas experiments. Building on their exquisite spatial and temporal control, we propose to engineer system-reservoir configurations using box traps, in view of preparing and…

Quantum Gases · Physics 2023-06-28 Botao Wang , Monika Aidelsburger , Jean Dalibard , André Eckardt , Nathan Goldman

Frictionless atom cooling in harmonic traps is formulated as a time-optimal control problem and a synthesis of optimal controlled trajectories is obtained. This work has already been used to determine the minimum time for transition between…

Optimization and Control · Mathematics 2016-11-17 Dionisis Stefanatos , Heinz Schaettler , Jr-Shin Li

By using a renormalization group analysis, we study the effect of interparticle interactions on the critical temperature at which the Berezinskii-Kosterlitz-Thouless (BKT) transition occurs for Bose-Einstein condensates loaded at finite…

Superconductivity · Physics 2007-05-23 A. Smerzi , P. Sodano , A. Trombettoni

Spectroscopic studies of few-body systems at ultracold temperatures provide valuable information that often cannot be extracted in a hot environment. Considering a pair of atoms, we propose a cooling mechanism that makes use of a scattering…

Atomic Physics · Physics 2009-11-07 J. W. Dunn , D. Blume , Bogdan Borca , B. E. Granger , Chris H. Greene

We consider the vortex state solution for a rotating cloud of trapped, Bose Einstein - condensed alkali atoms and study finite temperature effects. We find that thermally excited vortex waves can distort the vortex state significantly, even…

Condensed Matter · Physics 2009-10-28 Carlo F. Barenghi

We use a momentum-space hole-burning technique implemented via stimulated Raman transitions to measure the momentum relaxation time for a gas of bosonic atoms trapped in an optical lattice. By changing the lattice potential depth, we…

Quantum Gases · Physics 2016-08-10 David Chen , Carolyn Meldgin , Philip Russ , Erich Mueller , Brian DeMarco

We present a method of adiabatically changing the local phase-space density of an ultracold gas, using a combination of magnetic and optical forces. Applying this method, we observe phase-space density increases in a gas of sodium atoms by…

Statistical Mechanics · Physics 2009-10-31 D. M. Stamper-Kurn , H. -J. Miesner , A. P. Chikkatur , S. Inouye , J. Stenger , W. Ketterle

In this work we give a consistent picture of the thermodynamic properties of bosons in the Mott insulating phase when loaded adiabatically into one-dimensional optical lattices. We find a crucial dependence of the temperature in the optical…

Statistical Mechanics · Physics 2009-11-11 K. P. Schmidt , A. Reischl , G. S. Uhrig

We present a study of phase transition to macroscopic superfluidity for an ultracold bosonic gas confined in a combined trap formed by a one-dimensional optical lattice and a harmonic potential, focusing on the critical temperature of this…

Quantum Gases · Physics 2015-05-20 Baolong Lü , Xinzhou Tan , Bing Wang , Lijuan Cao , Hongwei Xiong

We study near-equilibrium thermodynamics of bosonic atoms in a two-dimensional optical lattice by ramping up the lattice depth to convert a superfluid into an inhomogeneous mixture of superfluid and Mott insulator. Detailed study of in situ…

Quantum Gases · Physics 2013-05-29 Chen-Lung Hung , Xibo Zhang , Nathan Gemelke , Cheng Chin

Cold atomic gases provide a remarkable testbed to study the physics of interacting many-body quantum systems. They have started to play a major role as quantum simulators, given the high degree of control that is possible. A crucial element…

We determine the leading shift of the Bose-Einstein condensation temperature for an ultracold dilute atomic gas in a harmonic trap due to weak disorder by treating both a Gaussian and a Lorentzian spatial correlation for the quenched…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthias Timmer , Axel Pelster , Robert Graham

We obtain a phase diagram for a trapped two-dimensional ultra-cold Bose gas. We find a critical temperature above which the free energy of a state with a pair of vortices of opposite circulation is lower than the one for a vortex-free…

Other Condensed Matter · Physics 2009-11-10 T. P. Simula , M. D. Lee , D. A. W. Hutchinson

We report on the achieving of Bose-Einstein condensation of a dilute atomic gas based on trapping atoms in tightly confining CO_2-laser dipole potentials. Quantum degeneracy of rubidium atoms is reached by direct evaporative cooling in both…

Soft Condensed Matter · Physics 2007-05-23 Giovanni Cennini , Gunnar Ritt , Carsten Geckeler , Martin Weitz

Within a quasiparticle framework, we reconsider the issue of computing the Bose-Einstein condensation temperature ($T_c$) in a weakly non-ideal Bose gas. The main result of this and previous investigations is that $T_c$ increases with the…

Condensed Matter · Physics 2007-05-23 Masudul Haque , Andrei E. Ruckenstein

This tutorial is a theoretical work, in which we study the physics of ultra-cold dipolar bosonic gases in optical lattices. Such gases consist of bosonic atoms or molecules that interact via dipolar forces, and that are cooled below the…

Quantum Gases · Physics 2015-05-27 C. Trefzger , C. Menotti , B. Capogrosso-Sansone , M. Lewenstein

We calculate experimentally relevant properties of trapped fermionic alkaline earth atoms in an optical lattice, modeled by the SU(N) Hubbard model. Our calculation is accurate when the temperature is much larger than the tunneling rate,…

Quantum Gases · Physics 2012-07-10 Kaden R. A. Hazzard , Victor Gurarie , Michael Hermele , Ana Maria Rey

The manipulation of cold atoms with optical fields is a very promising technique for a variety of applications ranging from laser cooling and trapping to coherent atom transport and matter wave interferometry. Optical fields have also been…

Quantum Physics · Physics 2007-09-24 Naceur Gaaloul , Amine Jaouadi , Mourad Telmini , Laurence Pruvost , Eric Charron

We consider a homogeneous non-ideal Bose gas at nonzero temperature in equilibrium below the critical temperature $T_C$ in the framework of finite temperature field theory. An algorithm is described in which a manageable subset of diagrams…

Other Condensed Matter · Physics 2015-03-13 E. Kovalchuk , R. Kobes