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It is shown that bifurcations of the mean-field dynamics of a Bose-Einstein condensate can be related with the quantum phase transitions of the original many-body system. As an example we explore the intra-band tunneling in the…

Other Condensed Matter · Physics 2009-11-13 V. S. Shchesnovich , V. V. Konotop

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

Statistical Mechanics · Physics 2007-05-23 K. Ziegler

The dynamics of a ring of vortices in two-dimensional Bose-Einstein condensates (with and without an additional vortex at the center) is studied for (1) a uniform condensate in a rigid cylinder and (2) a nonuniform trapped condensate in the…

Other Condensed Matter · Physics 2009-11-10 Jong-kwan Kim , Alexander L. Fetter

Studies of ultracold atoms in optical lattices link various disciplines, providing a playground where fundamental quantum many-body concepts, formulated in condensed-matter physics, can be tested in much better controllable atomic systems,…

Quantum Physics · Physics 2007-11-22 Igor. B. Mekhov , Christoph Maschler , Helmut Ritsch

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct…

Quantum Physics · Physics 2016-06-01 Zhihuang Luo , Chao Lei , Jun Li , Xinfang Nie , Zhaokai Li , Xinhua Peng , Jiangfeng Du

Kicked rotors with certain non-analytic potentials avoid dynamical localization and undergo a metal-insulator transition. We show that typical properties of this transition are still present as the non-analyticity is progressively smoothed…

Atomic Physics · Physics 2009-11-13 Antonio M. Garcia-Garcia , Jiao Wang

We study the quantum dynamics of a binary mixture of Bose-Einstein condensates (BEC) in a double-well potential starting from a two-mode Bose-Hubbard Hamiltonian. Focussing on the regime where the number of atoms is very large, a mapping…

Quantum Gases · Physics 2015-05-28 Roberta Citro , Adele Naddeo , Edmond Orignac

We study the time-dependent dynamics of a Bose-Einstein condensate trapped in an optical lattice. Modeling the system as a Bose-Hubbard model, we show how applying a periodic driving field can induce coherent destruction of tunneling. In…

Other Condensed Matter · Physics 2009-11-11 C. E. Creffield , T. S. Monteiro

By means of a two-mode model, we show that transitions to different arrays of coexistent regimes in the phase space can be attained by rotating a double-well system, which consists of a toroidal condensate with two diametrically placed…

Quantum Gases · Physics 2021-11-24 D. M. Jezek , H. M. Cataldo

We have realized a quantum walk in momentum space with a rubidium spinor Bose-Einstein condensate by applying a periodic kicking potential as a walk operator and a resonant microwave pulse as a coin toss operator. The generated quantum…

Quantum Physics · Physics 2021-08-23 J. H. Clark , C. Groiseau , Z. N. Shaw , S. Dadras , C. Binegar , S. Wimberger , G. S. Summy , Y. Liu

In this paper, we investigate systematically the Mott-insulator-Superfluid quantum phase transitions for ultracold scalar bosons in triangular, hexagonal, as well as Kagom\'e optical lattices. With the help of field-theoretical effective…

Statistical Mechanics · Physics 2012-06-01 Zhi Lin , Jun Zhang , Ying Jiang

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

We propose and demonstrate numerically a measurement scheme for complete reconstruction of the 2D quantum wave function of a Bose-Einstein condensate, amplitude and phase, from a time-of-flight measurement. We identify a fundamental…

Quantum Gases · Physics 2024-04-24 Ron Ziv , Anatoly Patsyk , Yaakov Lumer , Yoav Sagi , Yonina C. Eldar , Mordechai Segev

Most common types of symmetry breaking in quasi-one-dimensional electronic systems possess a combined manifold of states degenerate with respect to both the phase $\theta$ and the amplitude $A$ sign of the order parameter $A\exp(i\theta)$.…

Statistical Mechanics · Physics 2019-02-20 P. Karpov , S. Brazovskii

We show that the phase of a Bose-Einstein condensate wave-function of ultra-cold atoms in an optical lattice potential in two-dimensions can be detected. The time-of-flight images, obtained in a free expansion of initially trapped atoms,…

Quantum Gases · Physics 2014-01-30 Arkadiusz Kosior , Krzysztof Sacha

We discuss dynamics of a slow quantum phase transition in a spin-1 Bose-Einstein condensate. We determine analytically the scaling properties of the system magnetization and verify them with numerical simulations in a one dimensional model.

Other Condensed Matter · Physics 2008-11-26 Bogdan Damski , Wojciech H. Zurek

The dynamics of a two-mode Bose-Einstein condensate trapped in a double-well potential results approximately in an effective Rabi oscillation regime of exchange of population between both wells for sufficiently strong overlap between the…

Quantum Physics · Physics 2019-10-02 B. R. da Cunha , M. C. de Oliveira

Using a cold atomic gas exposed to laser pulses -- a realization of the chaotic quasiperiodic kicked rotor with three incommensurate frequencies -- we study experimentally and theoretically the Anderson metal-insulator transition in three…

We classify the ground states and topological defects of a rotating two-component condensate when varying several parameters: the intracomponent coupling strengths, the intercomponent coupling strength and the particle numbers.No…

Quantum Gases · Physics 2011-10-26 Peter Mason , Amandine Aftalion

The global spin polarization of hadrons in heavy ion collisions has been measured in STAR (the Solenoidal Tracker At Relativistic heavy ion collider) experiments, which opens up a new window in the study of the hottest, least viscous and…

Nuclear Theory · Physics 2022-10-11 Jian Deng , Qun Wang , Hong Zhang