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We study phase transition from the Mott insulator to superfluid in a periodic optical lattice. Kibble-Zurek mechanism predicts buildup of winding number through random walk of BEC phases, with the step size scaling as a the third root of…

Statistical Mechanics · Physics 2008-09-24 J. Dziarmaga , J. Meisner , W. H. Zurek

We apply the theory of inhomogeneous Kibble-Zurek mechanism to understand quench dynamics from the Mott insulator to the superfluid in a cold Bose gases confined in both a two-dimensional optical lattice and a harmonic trap. The local…

Quantum Gases · Physics 2021-01-20 Yoshihiro Machida , Kenichi Kasamatsu

We consider the phase transition dynamics of a trapped Bose-Einstein condensate subject to Raman-type spin-orbit coupling (SOC). By tuning the coupling strength the condensate is taken through a second order phase transition into an…

Quantum Gases · Physics 2019-05-22 Sheng Liu , Yongsheng Zhang

We revisit here the Kibble-Zurek mechanism for superfluid bosons slowly driven across the transition towards the Mott-insulating phase. By means of a combination of the Time-Dependent Variational Principle and a Tree-Tensor Network, we…

We study quenches across the Bose-Hubbard Mott-insulator-to-superfluid quantum phase transition using an ultra-cold atomic gas trapped in an optical lattice. Quenching from the Mott insulator to superfluid phase is accomplished by…

Quantum Gases · Physics 2013-05-29 D. Chen , M. White , C. Borries , B. DeMarco

We examine the quench dynamics across quantum phase transitions from a Mott insulator (MI) to a superfluid (SF) phase in a two-component bosonic mixture in an optical lattice. We show that two-component Bose mixtures exhibit qualitatively…

Quantum Gases · Physics 2025-02-24 Pardeep Kaur , Kuldeep Suthar , Dilip Angom , Sandeep Gautam

The ground state of the one-dimensional Bose-Hubbard model at unit filling undergoes the Mott-superfluid quantum phase transition. It belongs to the Kosterlitz-Thouless universality class with an exponential divergence of the correlation…

Statistical Mechanics · Physics 2017-03-29 Bartłomiej Gardas , Jacek Dziarmaga , Wojciech H. Zurek

Spontaneous spin vortex formation in the magnetic phase transition of a trapped spin-1 Bose-Einstein condensate is investigated using mean-field theory. In a harmonic trapping potential, an inhomogeneous atomic density leads to spatial…

Quantum Gases · Physics 2015-06-12 Hiroki Saito , Yuki Kawaguchi , Masahito Ueda

We study the non-equilibrium quench dynamics crossing a continuous phase transition between the charge density wave (CDW) and supersolid (SS) phases of a bosonic lattice gas with cavity-mediated interactions. When changing the hopping…

Quantum Gases · Physics 2022-09-27 Huan Wang , Xiayao He , Shuai Li , Hongrong Li , Bo Liu

We study the real-time dynamics of vortex lines in a large elongated Bose-Einstein condensate (BEC) of sodium atoms using a stroboscopic technique. Vortices are spontaneously produced via the Kibble-Zurek mechanism in a quench across the…

We study a linear ramp of the nearest-neighbor tunneling rate in the Bose-Hubbard model driving the system from the Mott insulator state into the superfluid phase. We employ the truncated Wigner approximation to simulate linear quenches of…

Quantum Gases · Physics 2012-10-23 Jacek Dziarmaga , Marek Tylutki , Wojciech H. Zurek

In this paper, we study the dynamics of the Bose-Hubbard model by using time-dependent Gutzwiller methods. In particular, we vary the parameters in the Hamiltonian as a function of time, and investigate the temporal behavior of the system…

Quantum Gases · Physics 2018-04-04 Keita Shimizu , Yoshihito Kuno , Takahiro Hirano , Ikuo Ichinose

Kibble-Zurek mechanism (KZM) uses critical scaling to predict density of topological defects and other excitations created in second order phase transitions. We point out that simply inserting asymptotic critical exponents deduced from the…

Quantum Gases · Physics 2014-09-01 Jacek Dziarmaga , Wojciech H. Zurek

The quantum phase transition from the Mott insulator state to the superfluid in the Bose-Hubbard model is investigated. We research one, two and three dimensional lattices in the truncated Wigner approximation. We compute both kinetic and…

Quantum Gases · Physics 2013-03-28 Marek Tylutki , Jacek Dziarmaga , Wojciech H. Zurek

We study the nonadiabatic dynamics of a two-dimensional higher-order topological insulator when the system is slowly quenched across the boundary-obstructed phase transition, which is characterized by edge band gap closing. We find that the…

Statistical Mechanics · Physics 2024-07-29 Menghua Deng , Zhoujian Sun , Fuxiang Li

The spin vortices are shown to be created through the Kibble-Zurek (KZ) mechanism in a quantum phase transition of a spin-1 ferromagnetic Bose-Einstein condensate, when the applied magnetic field is quenched below a critical value. It is…

Other Condensed Matter · Physics 2009-11-13 Hiroki Saito , Yuki Kawaguchi , Masahito Ueda

We simulate Bose-Einstein condensation (BEC) in a ring employing stochastic Gross-Pitaevskii equation and show that cooling through the critical temperature can generate spontaneous quantized circulation around the ring of the newborn…

Other Condensed Matter · Physics 2012-04-17 Arnab Das , Jacopo Sabbatini , Wojciech H. Zurek

We study the vortex nucleation dynamics in inhomogeneous atomic Bose gases quenched into a superfluid phase and investigate the dependence of the Kibble-Zurek (KZ) scaling exponent on the underlying trap configuration. For samples in a…

Quantum Gases · Physics 2023-11-30 Tenzin Rabga , Yangheon Lee , Dalmin Bae , Myeonghyeon Kim , Yong-il Shin

The miscibility-immiscibility phase transition in binary Bose-Einstein condensates (BECs) can be controlled by a coupling between the two components. Here we propose a new scheme that uses coupling-induced pattern formation to test the…

Quantum Gases · Physics 2012-09-14 Jacopo Sabbatini , Wojciech H. Zurek , Matthew J. Davis

We study the dynamics of phase transitions in the one dimensional Bose-Hubbard model. To drive the system from Mott insulator to superfluid phase, we change the tunneling frequency at a finite rate. We investigate the build up of…

Other Condensed Matter · Physics 2009-11-11 Fernando M. Cucchietti , Bogdan Damski , Jacek Dziarmaga , Wojciech H. Zurek
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