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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

In the context of closed quantum systems, when a system prepared in its ground state undergoes a sudden quench, the resulting Loschmidt echo can exhibit zeros, resembling the Fisher zeros in the theory of classical equilibrium phase…

Continuous phase transitions occur in a wide range of physical systems, and provide a context for the study of non-equilibrium dynamics and the formation of topological defects. The Kibble-Zurek (KZ) mechanism predicts the scaling of the…

Quantum Gases · Physics 2015-06-11 Jacopo Sabbatini , Wojciech H. Zurek , Matthew J. Davis

We investigate the nonequilibrium dynamics of one-dimension spin models in the presence of a uniform force. The linear potential induces delocalization-localization transition in the free particles model which is known as the Wannier-Stark…

Strongly Correlated Electrons · Physics 2023-04-26 Mona Faridfar , Ahmad A. Fouladi , Javad Vahedi

Phase transitions can modify quantum behaviour on mesoscopic scales and give access to new and unusual quantum dynamics. Here we investigate the superfluid properties of a rotating two-component Bose--Einstein condensate as a function of…

Quantum Gases · Physics 2016-03-09 Angela White , Tara Hennessy , Thomas Busch

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

This is a less technical presentation of the ideas in quant-ph/9804035 [Phys Rev Lett 83 (1999), 1707-1710]. A second order phase transition induced by a rapid quench can lock out topological defects with densities far exceeding their…

Statistical Mechanics · Physics 2007-05-23 J. R. Anglin , W. H. Zurek

We investigate the dynamical quantum phase transition (DQPT) in the multi-band Bloch Hamiltonian of the one-dimensional periodic Kitaev model, focusing on quenches from a Bloch band. By analyzing the dynamical free energy and Pancharatnam…

Statistical Mechanics · Physics 2024-11-19 Kaiyuan Cao , Hao Guo , Guangwen Yang

Driven-dissipative quantum systems can undergo transitions from stationary to dynamical phases, reflecting the emergence of collective non-equilibrium behavior. We study such a transition in a Bose-Einstein condensate coupled to an optical…

The quenched dynamics of an ultracold homogeneous atomic two-dimensional Bose gas subjected to periodic quenches across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition are discussed. Specifically, we address the effect of…

Quantum Gases · Physics 2021-02-03 Kate Brown , Thomas Bland , Paolo Comaron , Nick P. Proukakis

Dynamical phase transitions (DPTs), characterized by non-analytic behaviors in time domain, extend the equilibrium phase transitions to far-from-equilibrium situations. It has been predicted that DPTs can be precisely identified by the…

Quantum Physics · Physics 2019-07-30 Tian Tian , Yongguan Ke , Liang Zhang , Shaochun Lin , Zhifu Shi , Pu Huang , Chaohong Lee , Jiangfeng Du

We consider dynamics of Dicke models, with and without counterrotating terms, under slow variations of parameters which drive the system through a quantum phase transition. The model without counterrotating terms and sweeped detuning is…

Statistical Mechanics · Physics 2010-09-10 A. P. Itin , P. Törmä

Three-dimensional (3D) strongly correlated many-body systems, especially their dynamics across quantum phase transitions, are prohibitively difficult to be numerically simulated. We experimentally demonstrate that such complex many-body…

Quantum Gases · Physics 2021-08-02 J. O. Austin , Z. Chen , Z. N. Shaw , K. W. Mahmud , Y. Liu

It has been well established that spatially extended, bistable systems that are driven by an oscillating field exhibit a nonequilibrium dynamic phase transition (DPT). The DPT occurs when the field frequency is on the order of the inverse…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , P. A. Rikvold , M. A. Novotny

The miscibility of two interacting quantum systems is an important testing ground for the understanding of complex quantum systems. Two-component Bose-Einstein condensates enable the investigation of this scenario in a particularly well…

We study the slow quenching dynamics (characterized by an inverse rate, $\tau^{-1}$) of a one-dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across the quantum critical point (QCP) and analyze the…

Statistical Mechanics · Physics 2016-06-08 Shraddha Sharma , Uma Divakaran , Anatoli Polkovnikov , Amit Dutta

We investigate dynamical quantum phase transitions (DQPTs) in both pure and mixed states within the extended SSH model framework, focusing on the SSH-3 and SSH-4 variants, which differ in symmetry properties. The SSH-3 model, characterized…

Quantum Physics · Physics 2025-10-21 Kaiyuan Cao , Tianren Zhang , Xiangping Jiang , Jian Wang

Quantum phase transitions (QPTs) in the spin-boson model with/without the rotating-wave approximation (RWA) are systematically investigated through variational calculations using a sub-Ohmic bath with high spectral density. Four cases…

Quantum Physics · Physics 2026-03-17 Nengji Zhou , Yulong Shen , Zhe Sun

We study the collision dynamics of two Bose-Einstein condensates with their dynamical wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective one-dimensional system, we identify…

Quantum Gases · Physics 2022-03-22 Aaron Wirthwein , Stephan Haas , Sheng-wey Chiow

This work investigates dynamical quantum phase transitions (DQPTs) in a one-dimensional Ising model subjected to a periodically modulated transverse field. In contrast to sudden quenches, we demonstrate that a DQPT can be induced in two…

Other Condensed Matter · Physics 2026-05-25 Yuanyuan Cheng , Yuxia Zhang , Tianhui Qiu , Peipei Xin , Bao-Ming Xu
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