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We study the quenching dynamics of a one-dimensional spin-1/2 $XY$ model in a transverse field when the transverse field $h(=t/\tau)$ is quenched repeatedly between $-\infty$ and $+\infty$. A single passage from $h \to - \infty$ to $h \to…

统计力学 · 物理学 2008-07-22 Victor Mukherjee , Amit Dutta , Diptiman Sen

We use a new quenching scheme to study the dynamics of a one-dimensional anisotropic $XY$ spin-1/2 chain in the presence of a transverse field which alternates between the values $h+\de$ and $h-\de$ from site to site. In this quenching…

统计力学 · 物理学 2009-11-13 Uma Divakaran , Amit Dutta , Diptiman Sen

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 have studied quantum phase transition induced by a quench in different one dimensional spin systems. Our analysis is based on the dynamical mechanism which envisages nonadiabaticity in the vicinity of the critical point. This causes spin…

量子物理 · 物理学 2015-05-27 Banasri Basu , Pratul Bandyopadhyay , Priyadarshi Majumdar

We study the quench dynamics of the three-dimensional Kitaev (spin) model under a linear drive using both exact numerical calculations and analytical "independent crossing approximation". Unlike the two-dimensional Kitaev model, the…

强关联电子 · 物理学 2020-10-23 Subhajit Sarkar , Dibyendu Rana , Saptarshi Mandal

We study the quenching dynamics of a many-body system in one dimension described by a Hamiltonian that has spatial periodicity. Specifically, we consider a spin-1/2 chain with equal xx and yy couplings and subject to a periodically varying…

强关联电子 · 物理学 2015-06-03 Manisha Thakurathi , Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

We investigate the time evolution of the density of kinks in the spin-1/2 quantum Ising spin chain after a sudden quench in the transverse field strength, and find that it relaxes to a value which depends on the initial and the final values…

统计力学 · 物理学 2009-10-22 Sei Suzuki , Davide Rossini , Giuseppe E. Santoro

We study analytically and numerically quench dynamics and defects formation in the quantum Ising model in the presence of a time-dependent transverse magnetic field. We generalize the Landau-Ziner formula to the case of non-adiabatic…

统计力学 · 物理学 2019-01-01 Alexander I Nesterov , Mónica F Ramírez

In this review, we study the quenching dynamics of a one-dimensional XY Hamiltonian in a transverse field under linear variation of different parameters of the Hamiltonian so that the system is driven through various critical points and…

统计力学 · 物理学 2015-05-14 Uma Divakaran , Victor Mukherjee , Amit Dutta , Diptiman Sen

We study the dynamics of a transverse-field XY chain driven across quantum critical points by noisy control fields. We characterize the defect density as a function of the quench time and the noise strength, and demonstrate that the defect…

量子物理 · 物理学 2017-06-22 Zhi-Peng Gao , Dan-Wei Zhang , Yang Yu , Shi-Liang Zhu

We study the effect of two simultaneous local quenches on the evolution of Loschmidt echo and entanglement entropy of a one dimensional transverse Ising model. In this work, one of the local quenches involves the connection of two spin-1/2…

统计力学 · 物理学 2016-06-01 Atanu Rajak , Uma Divakaran

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

统计力学 · 物理学 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling…

统计力学 · 物理学 2015-06-22 B. Boechat , J. Florencio , A. Saguia , O. F. de Alcantara Bonfim

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 dynamics of entanglement in the scaling limit of the Ising spin chain in the presence of both a longitudinal and a transverse field. We present analytical results for the quench of the longitudinal field in critical transverse…

Interference effects form a fundamental pillar of quantum mechanics. In this paper, we examine the interference in spin-orbit coupled transverse magnetic focusing, where a weak magnetic field is used to focus charge carries over mesoscopic…

介观与纳米尺度物理 · 物理学 2017-07-19 Samuel Bladwell , Oleg Sushkov

We review quantum phase transitions of spin systems in transverse magnetic fields taking the examples of the spin-1/2 Ising and XY models in a transverse field. Beginning with an overview of quantum phase transitions, we introduce a number…

Quantum Ising model in one dimension is an exactly solvable example of a quantum phase transition. We investigate its behavior during a quench from a paramagnetic to ferromagnetic phase caused by a gradual turning off of the transverse…

强关联电子 · 物理学 2008-11-26 Lukasz Cincio , Jacek Dziarmaga , Marek M. Rams , Wojciech H. Zurek

We study the generation of defects when a quantum spin system is quenched through a multicritical point by changing a parameter of the Hamiltonian as $t/\tau$, where $\tau$ is the characteristic time scale of quenching. We argue that when a…

统计力学 · 物理学 2009-11-13 Uma Divakaran , Victor Mukherjee , Amit Dutta , Diptiman Sen

Symmetry-breaking phase transitions may leave behind topological defects \cite{Kibble} with a density dependent on the quench rate \cite{Zurek}. We investigate the dynamics of such quenches for the one-dimensional, Landau-Ginzburg case and…

高能物理 - 唯象学 · 物理学 2014-11-17 Pablo Laguna , Wojciech H. Zurek
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