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It is well known that the dynamics of a quantum system is always non-adiabatic in passage through a quantum critical point and the defect density in the final state following a quench shows a power-law scaling with the rate of quenching.…

统计力学 · 物理学 2015-05-13 Debanjan Chowdhury , Uma Divakaran , Amit Dutta

We study the quantum dynamics of a one-dimensional spin-1/2 anisotropic XY model in a transverse field when the transverse field or the anisotropic interaction is quenched at a slow but uniform rate. The two quenching schemes are called…

统计力学 · 物理学 2009-01-19 Victor Mukherjee , Uma Divakaran , Amit Dutta , Diptiman Sen

We study the quantum phases of anisotropic XY spin chain system in presence and absence of adiabatic quench. A connection between geometric phase and criticality is established from the dynamical behaviour of the geometric phase for a…

量子物理 · 物理学 2015-05-30 Sujit Sarkar , B. Basu

By gradually changing the degree of the anisotropy in a XXZ chain we study the defect formation in a quantum system that crosses an extended critical region. We discuss two qualitatively different cases of quenches, from the…

其他凝聚态物理 · 物理学 2009-11-13 Franco Pellegrini , Simone Montangero , Giuseppe E. Santoro , Rosario Fazio

Spontaneous symmetry breaking occurs in a physical system whenever the ground state does not share the symmetry of the underlying theory, e.g., the Hamiltonian. It gives rise to massless Nambu-Goldstone modes and massive Anderson-Higgs…

量子气体 · 物理学 2016-09-14 T. M. Hoang , M. Anquez , M. J. Boguslawski , H. M. Bharath , B. A. Robbins , M. S. Chapman

We study the dynamics of open quantum many-body systems driven across a critical point by quenching an Hamiltonian parameter at a certain velocity. General scaling laws are derived for the density of excitations and energy produced during…

统计力学 · 物理学 2009-07-03 Dario Patanè , Alessandro Silva , Luigi Amico , Rosario Fazio , Giuseppe E. Santoro

We consider an inhomogeneous quantum phase transition across a multicritical point of the XY quantum spin chain. This is an example of a Lifshitz transition with a dynamical exponent z = 2. Just like in the case z = 1 considered in New J.…

统计力学 · 物理学 2010-10-28 Jacek Dziarmaga , Marek M. Rams

We explore nonadiabatic quantum phase transitions in an Ising spin chain with a linearly time-dependent transverse field and two different spins per unit cell. Such a spin system passes through critical points with gapless excitations,…

统计力学 · 物理学 2021-02-23 Bin Yan , Vladimir Y. Chernyak , Wojciech H. Zurek , Nikolai A. Sinitsyn

We investigate non-equilibrium dynamical scaling in adiabatic quench processes across quantum multicritical points. Our analysis shows that the resulting power-law scaling depends sensitively on the control path, and that anomalous critical…

统计力学 · 物理学 2015-05-14 Shusa Deng , Gerardo Ortiz , Lorenza Viola

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

统计力学 · 物理学 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

We explore the robustness of universal dynamical scaling behavior in a quantum system near criticality with respect to initialization in a large class of states with finite energy. By focusing on a homogeneous XY quantum spin chain in a…

统计力学 · 物理学 2015-05-20 Shusa Deng , Gerardo Ortiz , Lorenza Viola

We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second order quantum phase transition. It is shown that despite the conventional adiabaticity conditions are always violated…

统计力学 · 物理学 2007-05-23 Anatoli Polkovnikov

We investigate the quench dynamics of an open quantum system involving a quantum phase transition. In the isolated case, the quench dynamics involving the phase transition exhibits a number of scaling relations with the quench rate as…

量子物理 · 物理学 2020-06-15 Ricardo Puebla , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

The Kibble-Zurek mechanism demands an initial adiabatic stage before an impulse stage to have a frozen correlation length that generates topological defects in a cooling phase transition. Here we study such a driven critical dynamics but…

统计力学 · 物理学 2016-01-19 Yingyi Huang , Shuai Yin , Qijun Hu , Fan Zhong

The Kibble-Zurek mechanism predicts the formation of topological defects and other excitations that quantify how much a quantum system driven across a quantum critical point fails to be adiabatic. We point out that, thanks to the divergent…

统计力学 · 物理学 2019-10-02 Marek M. Rams , Jacek Dziarmaga , Wojciech H. Zurek

We study the time evolution of spin squeezing in the one-dimensional spin-1/2 XY model subject to a sudden quantum quench of a transverse magnetic field. The initial state is selected from the ground state phase diagram of the model,…

量子物理 · 物理学 2022-02-15 Hadi Cheraghi , Saeed Mahdavifar , Henrik Johannesson

We study the crossover between the sudden quench limit and the adiabatic dynamics of superconducting states in the attractive Hubbard model. We focus on the dynamics induced by the change of the attractive interaction during a finite ramp…

强关联电子 · 物理学 2017-11-10 Giacomo Mazza

The dynamics, appearing after a quantum quench, of a trapped, spin-orbit coupled, dilute atomic gas is studied. The characteristics of the evolution is greatly influenced by the symmetries of the system, and we especially compare evolution…

量子物理 · 物理学 2013-01-29 Jonas Larson , Brandon Anderson , Alexander Altland

We introduce an inhomogeneous protocol to drive a weakly disordered quantum spin chain quasi-adiabatically across a quantum phase transition and minimize the residual energy of the final state. The number of spins that simultaneously reach…

量子物理 · 物理学 2016-12-28 Marek M. Rams , Masoud Mohseni , Adolfo del Campo

We argue that in a second order quantum phase transition driven by an inhomogeneous quench density of quasiparticle excitations is suppressed when velocity at which a critical point propagates across a system falls below a threshold…

量子物理 · 物理学 2015-05-13 Jacek Dziarmaga , Marek M. Rams
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