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We consider the nonequilibrium time evolution of the transverse magnetization in the critical Ising and $XX$ quantum chains. For some inhomogeneously magnetized initial states we derive analytically the transverse magnetization profiles and…

统计力学 · 物理学 2009-11-07 Dragi Karevski

We study nonequilibrium dynamics of the quantum Ising chain at zero temperature when the transverse field is varied stochastically. In the equivalent fermion representation, the equation of motion of Majorana operators is derived in the…

统计力学 · 物理学 2016-04-07 G. Roósz , R. Juhász , F. Iglói

By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe…

无序系统与神经网络 · 物理学 2017-04-05 Gergo Roosz , Yu-Cheng Lin , Ferenc Igloi

The spin-1/2 quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is…

无序系统与神经网络 · 物理学 2009-10-30 A. Juozapavicius , S. Caprara , A. Rosengren

We study the dynamics caused by transport of transverse magnetization in one dimensional transverse Ising chain at zero temperature. We observe that a class of initial states having product structure in fermionic momentum-space and…

统计力学 · 物理学 2017-11-03 Sirshendu Bhattacharyya , Subinay Dasgupta

We consider the non-equilibrium dynamics after a sudden quench of the magnetic field in the transverse field Ising chain starting from excited states of the pre-quench Hamiltonian. We prove that stationary values of local correlation…

统计力学 · 物理学 2014-05-06 Leda Bucciantini , Márton Kormos , Pasquale Calabrese

Out-of-equilibrium behavior is explored in the one-dimensional anisotropic $XY$ model. Initially preparing the system in the isotropic $XX$ model with a linearly varying magnetic field to create a domain-wall magnetization profile, dynamics…

量子气体 · 物理学 2016-05-20 Jarrett L. Lancaster

We consider the non-stationary quantum relaxation of the Ising spin chain in a transverse field of strength h. Starting from a homogeneously magnetized initial state the system approaches a stationary state by a process possessing quasi…

统计力学 · 物理学 2009-10-31 F. Igloi , H. Rieger

We obtain the steady-state phase diagram of a transverse field XY spin chain coupled at its ends to magnetic reservoirs held at different magnetic potentials. In the long-time limit, the magnetization bias across the system generates a…

介观与纳米尺度物理 · 物理学 2021-01-13 Tharnier O. Puel , Stefano Chesi , Stefan Kirchner , Pedro Ribeiro

The one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. Here, we investigate the full time dependence of this system.…

统计力学 · 物理学 2007-05-23 M. Mobilia , R. K. P. Zia , B. Schmittmann

We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse Ising chain…

统计力学 · 物理学 2013-05-20 Uma Divakaran , Ferenc Iglói , Heiko Rieger

We consider the critical and off-critical properties at the boundary of the random transverse-field Ising spin chain when the distribution of the couplings and/or transverse fields, at a distance $l$ from the surface, deviates from its…

统计力学 · 物理学 2016-08-15 Dragi Karevski , Róbert Juhász , Loïc Turban , Ferenc Iglói

We study the time evolution in the transverse-field Ising chain subject to quantum quenches of finite duration, ie, a continuous change in the transverse magnetic field over a finite time. Specifically, we consider the dynamics of the total…

强关联电子 · 物理学 2016-10-25 Tatjana Puskarov , Dirk Schuricht

We study the nonequilibrium dynamics of a quasiperiodic quantum Ising chain after a sudden change in the strength of the transverse field at zero temperature. In particular we consider the dynamics of the entanglement entropy and the…

统计力学 · 物理学 2013-06-18 Ferenc Igloi , Gergo Roosz , Yu-Cheng Lin

We solve the nonequilibrium dynamics of qubits or quantum spin chains (s=1/2) modeled by an anisotropic XY Hamiltonian, when the initial condition is prepared as a spatially inhomogeneous state of the magnetization. Infinite systems are…

介观与纳米尺度物理 · 物理学 2007-05-23 D. Tygel , J. G. Carvalho , G. G. Cabrera

We consider the full probability distribution for the transverse magnetization of a finite subsystem in the transverse field Ising chain. We derive a determinant representation of the corresponding characteristic function for general…

统计力学 · 物理学 2018-07-04 Stefan Groha , Fabian H. L. Essler , Pasquale Calabrese

We examine the ground state properties of the s=1/2 transverse Ising chain with regularly alternating bonds and fields using exact analytical results and exact numerical data for long (up to N=900) and short (N=20) chains. For a given…

凝聚态物理 · 物理学 2009-11-07 Oleg Derzhko , Johannes Richter , Taras Krokhmalskii , Oles' Zaburannyi

We study the time evolution of the local magnetization in the critical Ising chain in a transverse field after a sudden change of the parameters at a defect. The relaxation of the defect magnetization is algebraic and the corresponding…

统计力学 · 物理学 2014-03-27 F. Iglói , G. Roósz , L. Turban

We study numerically the nonequilibrium dynamical behavior of an Ising model with mixed two-spin and four-spin interactions after a sudden quench from the high-temperature phase to the first-order phase transition point. The autocorrelation…

统计力学 · 物理学 2009-11-13 Michel Pleimling , Ferenc Igloi

We consider random extended surface perturbations in the transverse field Ising model decaying as a power of the distance from the surface towards a pure bulk system. The decay may be linked either to the evolution of the couplings or to…

统计力学 · 物理学 2007-05-23 L. Turban , D. Karevski , F. Igloi
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