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Dynamical signatures of quantum chaos are observed in the survival probability of different initial states, in a system of cold atoms trapped in a linear chain with site noise and open boundary conditions. It is shown that chaos is present…

Quantum Physics · Physics 2023-12-13 Carlos Diaz Mejia , Javier de la Cruz , Sergio Lerma-Hernandez , Jorge G. Hirsch

Based on large-scale density matrix renormalization group techniques, we investigate the critical behaviors of quantum three-state Potts chains with long-range interactions. Using fidelity susceptibility as an indicator, we obtain a…

Strongly Correlated Electrons · Physics 2023-05-31 Xue-Jia Yu , Chengxiang Ding , Limei Xu

The theory of quantum quenches in near-critical one-dimensional systems formulated in [J. Phys. A 47 (2014) 402001] yields analytic predictions for the dynamics, unveils a qualitative difference between non-interacting and interacting…

Statistical Mechanics · Physics 2017-02-07 Gesualdo Delfino , Jacopo Viti

We study the effects of disorder on a Kitaev chain with longer-range hopping and pairing terms which is capable of forming local zero energy excitations and, hence, serves as a minimal model for localization-protected edge qubits. The clean…

Disordered Systems and Neural Networks · Physics 2018-10-24 Simon Lieu , Derek K. K. Lee , Johannes Knolle

We study several dynamical properties of a recently proposed implementation of the quantum transverse-field Ising chain in the framework of circuit QED. Particular emphasis is placed on the effects of disorder on the nonequilibrium behavior…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Oliver Viehmann , Jan von Delft , Florian Marquardt

It is shown that dynamical quantum phase transitions observed as singularities in the Loschmidt rate singularities bear close resemblance to standard Rabi oscillations known from dynamics of two-level systems. For some many-body systems…

Quantum Physics · Physics 2023-06-14 Jakub Zakrzewski

We study quench dynamics and defect production in the Kitaev and the extended Kitaev models. For the Kitaev model in one dimension, we show that in the limit of slow quench rate, the defect density n \sim 1/\sqrt{\tau} where 1/\tau is the…

Statistical Mechanics · Physics 2009-11-13 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

We investigate the nonequilibrium phase transition in the disordered contact process in the presence of long-range spatial disorder correlations. These correlations greatly increase the probability for finding rare regions that are locally…

Statistical Mechanics · Physics 2014-10-28 Ahmed K. Ibrahim , Hatem Barghathi , Thomas Vojta

Small (but still containing many atoms) quantum systems (traditionally termed nano-systems) are dramatically different from their macroscopic or genuine microscopic (atomic) cousins. Microscopic molecular systems (with a few atoms) obey a…

Quantum Physics · Physics 2021-12-08 V. A. Benderskii , E. I. Kats

We re-examine the problem of the "Loschmidt echo", which measures the sensitivity to perturbation of quantum chaotic dynamics. The overlap squared $M(t)$ of two wave packets evolving under slightly different Hamiltonians is shown to have…

Chaotic Dynamics · Physics 2017-12-06 P. G. Silvestrov , J. Tworzydlo , C. W. J. Beenakker

We investigate the Loschmidt echo, the overlap of the initial and final wavefunctions of Luttinger liquids after a spatially inhomogeneous interaction quench. In studying the Luttinger model, we obtain an analytic solution of the bosonic…

Strongly Correlated Electrons · Physics 2015-09-01 Balázs Dóra , Frank Pollmann

We studied the non-equilibrium dynamics of the q-state Potts model in the square lattice, after a quench to sub-critical temperatures. By means of a continuous time Monte Carlo algorithm (non-conserved order parameter dynamics) we analyzed…

Statistical Mechanics · Physics 2007-09-13 Ezequiel E. Ferrero , Sergio A. Cannas

We consider the computation of the Loschmidt echo after quantum quenches in the interacting $XXZ$ Heisenberg spin chain both for real and imaginary times. We study two-site product initial states, focusing in particular on the N\'eel and…

Statistical Mechanics · Physics 2017-02-17 Lorenzo Piroli , Balázs Pozsgay , Eric Vernier

We investigate the effect of quenched bond-disorder on the anisotropic spin-1/2 (XXZ) chain as a model for disorder induced quantum phase transitions. We find non-universal behavior of the average correlation functions for weak disorder,…

Disordered Systems and Neural Networks · Physics 2009-11-07 K. Hamacher , J. Stolze , W. Wenzel

The Loschmidt echo measures the sensitivity to perturbations of quantum evolutions. We study its short time decay in classically chaotic systems. Using perturbation theory and throwing out all correlation imposed by the initial state and…

Chaotic Dynamics · Physics 2009-11-07 Diego A. Wisniacki

We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field Ising model from the vantage point of two disparate concepts of dynamical criticality. An analytical derivation of the classical dynamics…

Statistical Mechanics · Physics 2018-05-07 Johannes Lang , Bernhard Frank , Jad C. Halimeh

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

Statistical Mechanics · Physics 2013-09-09 Maurizio Fagotti

Discrete time crystals are related to non-equilibrium dynamics of periodically driven quantum many-body systems where the discrete time translation symmetry of the Hamiltonian is spontaneously broken into another discrete symmetry.…

Quantum Gases · Physics 2018-05-31 Arkadiusz Kosior , Krzysztof Sacha

We study the temporal evolution of a central spin-1/2 (qubit) coupled to the environment which is chosen to be a spin-1/2 transverse XY spin chain. We explore the entire phase diagram of the spin-Hamiltonian and investigate the behavior of…

Statistical Mechanics · Physics 2015-06-04 Shraddha Sharma , Victor Mukherjee , Amit Dutta

We study the time-dependence of the magnetization profile, m_l(t), of a large finite open quantum Ising chain after a quench. We observe a cyclic variation, in which starting with an exponentially decreasing period the local magnetization…

Statistical Mechanics · Physics 2011-01-21 Ferenc Iglói , Heiko Rieger
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