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We study the Bose-Hubbard and Fermi-Hubbard model in the limit of large coordination numbers Z (i.e., many tunnelling partners). Via a controlled expansion into powers of 1/Z, we establish a hierarchy of correlations, which facilitates an…

Quantum Physics · Physics 2012-08-02 Friedemann Queisser , Konstantin Krutitsky , Patrick Navez , Ralf Schützhold

We study a physical system consisting of a Bose-Einstein condensate confined to a ring shaped lattice potential interrupted by three weak links. The system is assumed to be driven by an effective flux piercing the ring lattice. By employing…

A second order phase transition induced by a rapid quench can lock out topological defects with densities far exceeding their equilibrium expectation values. We use quantum kinetic theory to show that this mechanism, originally postulated…

Quantum Physics · Physics 2009-10-31 J. R. Anglin , W. H. Zurek

Josephson junctions are essential ingredients in the superconducting circuits used in many existing quantum technologies. Additionally, ultracold atomic quantum gases have also become essential platforms to study superfluidity. Here, we…

Quantum Gases · Physics 2022-04-26 Mário H. Figlioli Donato , Sérgio R. Muniz

The Kibble-Zurek mechanism (KZM) predicts that when a system is driven through a continuous phase transition, the density of topological defects scales universally with the quench rate. Recent theoretical work [H.-B. Zeng \textit{et al.},…

Quantum Physics · Physics 2025-06-10 Xinxin Rao , Yang Liu , Mingshen Li , Teng Liu , Huabi Zeng , Le Luo

The problem of coupled Fermi-Bose mixtures of an ultracold gas near a narrow Feshbach resonance is approached through the time-dependent and complex Ginzburg-Landau (TDGL) theory. The dynamical system is constructed using…

Quantum Gases · Physics 2012-03-22 Analabha Roy

The properties of a rotating Bose-Einstein condensate confined in a prolate cylindrically symmetric trap are explored both analytically and numerically. As the rotation frequency increases, an ever greater number of vortices are…

Statistical Mechanics · Physics 2009-11-07 D. L. Feder , C. W. Clark

Superfluid and dissipative regimes in the dynamics of a two-component quasi-one-dimensional Bose-Einstein condensate (BEC) with unequal atom numbers in the components have been explored. The system supports localized waves of the symbiotic…

Quantum Gases · Physics 2024-07-03 S. M. Al-Marzoug , B. B. Baizakov , U. Al Khawaja , H. Bahlouli

We investigate, both analytically and numerically, the quasi-superfluidity properties of periodic Bose-Einstein condensates (BECs) in a quasi-one-dimensional (1D) ring with optical lattices (OL) of different kinds (linear and nonlinear) and…

Quantum Gases · Physics 2013-04-01 A. V. Yulin , Yu. V. Bludov , V. V. Konotop , V. Kuzmiak , M. Salerno

It is shown that the critical temperature of gas Bose-Einstein condensation decreases in deepening periodic potential, in contrast to common regularity in a separate potential well. The physical explanation of this phenomenon is given.…

Soft Condensed Matter · Physics 2007-05-23 A. Zh. Muradyan , G. A. Muradyan

We have observed well-defined phase slips between quantized persistent current states around a toroidal atomic (23Na) Bose-Einstein condensate. These phase slips are induced by a weak link (a localized region of reduced superfluid density)…

Quantum Gases · Physics 2013-12-06 K. C. Wright , R. B. Blakestad , C. J. Lobb , W. D. Phillips , G. K. Campbell

A condensate in an optical lattice, prepared in the ground state of the superfluid regime, is stimulated first by suddenly increasing the optical lattice amplitude and then, after a waiting time, by abruptly decreasing this amplitude to its…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Roberto Franzosi

We describe the ground state of a gas of bosonic atoms with two coherently coupled internal levels in a deep optical lattice in a one dimensional geometry. In the single-band approximation this system is described by a Bose-Hubbard…

Quantum Gases · Physics 2016-03-29 L. Barbiero , M. Abad , A. Recati

We study the dynamic response of an s-wave BCS-BEC (atomic-molecular) condensate to detuning quenches within the two channel model beyond the weak coupling BCS limit. At long times after the quench, the condensate ends up in one of three…

Quantum Gases · Physics 2015-04-01 Emil A. Yuzbashyan , Maxim Dzero , Victor Gurarie , Matthew S. Foster

We discuss the superfluid to Mott-insulator transition of cold atoms in optical lattices recently observed by Greiner et.al. (Nature 415, 39 (2002)). The fundamental properties of both phases and their experimental signatures are discussed…

Strongly Correlated Electrons · Physics 2007-05-23 W. Zwerger

We explore the dynamics of spontaneous symmetry breaking in a homogeneous system by thermally quenching an atomic gas with short-range interactions through the Bose-Einstein phase transition. Using homodyne matter-wave interferometry to…

Quantum Gases · Physics 2015-01-12 Nir Navon , Alexander L. Gaunt , Robert P. Smith , Zoran Hadzibabic

We consider the finite-time quench dynamics in the quantum transverse field Ising model which exhibits a second order phase transition from a paramagnetic to a ferromagnetic phase, as the transverse magnetic field is decreased. These…

Statistical Mechanics · Physics 2025-04-08 Lakshita Jindal , Kavita Jain

The similarity between matter waves in periodic potential and solid-state physics processes has triggered the interest in quantum simulation using Bose-Fermi ultracold gases in optical lattices. The present work evidences the similarity…

Quantum Gases · Physics 2015-05-14 A. Zenesini , H. Lignier , C. Sias , O. Morsch , D. Ciampini , E. Arimondo

We investigate the dynamics of the rate function and of local observables after a quench in models which exhibit phase transitions between a superfluid and an insulator in their ground states. Zeros of the return probability, corresponding…

Quantum Gases · Physics 2017-11-17 Thomás Fogarty , Ayaka Usui , Thomas Busch , Alessandro Silva , John Goold

Quantum critical behavior of many-body phase transitions is one of the most fascinating yet challenging questions in quantum physics. Here, we improved the band-mapping method to investigate the quantum phase transition from superfluid to…