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Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the efficiency of simulations on classical…

Quantum Gases · Physics 2013-09-23 J. Schachenmayer , B. P. Lanyon , C. F. Roos , A. J. Daley

The non-equilibrium response of a quantum many-body system defines its fundamental transport properties and how initially localized quantum information spreads. However, for long-range-interacting quantum systems little is known. We address…

Quantum Physics · Physics 2013-11-15 Philipp Hauke , Luca Tagliacozzo

Whether long-range interactions allow for a form of causality in non-relativistic quantum models remains an open question with far-reaching implications for the propagation of information and thermalization processes. Here, we study the…

Quantum Physics · Physics 2022-03-31 J. T. Schneider , J. Despres , S. J. Thomson , L. Tagliacozzo , L. Sanchez-Palencia

When an extended system is coupled at its opposite boundaries to two reservoirs at different temperatures or chemical potentials, it cannot achieve a global thermal equilibrium and is instead driven to a set of current-carrying…

Statistical Mechanics · Physics 2019-04-30 Michael J. Gullans , David A. Huse

Non-Hermitian quantum many-body systems are attracting widespread interest for their exotic properties, including unconventional quantum criticality and topology. Here we study how quantum information and correlations spread under a quantum…

Statistical Mechanics · Physics 2023-01-18 Xhek Turkeshi , Marco Schiró

We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of…

Strongly Correlated Electrons · Physics 2013-02-08 Thomas Koffel , M. Lewenstein , Luca Tagliacozzo

We investigate the dynamical spreading of spatial correlations after a quantum quench starting from a magnetically disordered state in the transverse-field Ising model at one (1D) and two spatial dimensions (2D). We analyze specifically the…

Quantum Gases · Physics 2023-08-04 Ryui Kaneko , Ippei Danshita

We study the two-point correlation functions and the bipartite entanglement in the ground state of the exactly-solvable variable-range extended Ising model of qubits in the presence of a transverse field on a one-dimensional lattice. We…

Quantum Physics · Physics 2026-04-28 Harikrishnan K J , Debasis Sadhukhan , Amit Kumar Pal

We study numerically the entanglement entropy and spatial correlations of the one dimensional transverse field Ising model with three different perturbations. First, we focus on the out of equilibrium, steady state with an energy current…

Statistical Mechanics · Physics 2017-06-19 Richard Cole , Frank Pollmann , Joseph J. Betouras

The correlation length plays a pivotal role in finite-size scaling and hyperscaling at continuous phase transitions. Below the upper critical dimension, where the correlation length is proportional to the system length, both finite-size…

Statistical Mechanics · Physics 2015-02-18 E. J. Flores-Sola , B. Berche , R. Kenna , M. Weigel

Non-equilibrium phase transitions of open quantum systems generically exhibit diverging classical but not quantum correlations. Still entanglement -- characterizing the latter correlations -- can be sensitive to the phase transition.…

We study the scaling of ground state entanglement entropy of various free fermionic models on one dimensional lattices, where the hopping and pairing terms decay as a power law. We seek to understand the scaling of entanglement entropy in…

Strongly Correlated Electrons · Physics 2024-05-27 Debarghya Chakraborty , Nikolaos Angelinos

The evolution of entanglement in a one-dimensional Ising chain is numerically studied under various initial conditions. We analyze two problems concerning the dynamics of the entanglement: (i) generation of the entanglement from the…

Quantum Physics · Physics 2009-11-13 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

Long-range interactions allow far-distance quantum correlations to build up very fast. Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement entropy growth after a sudden quench. In this work, we unveil the…

Statistical Mechanics · Physics 2020-02-26 Alessio Lerose , Silvia Pappalardi

While the kinetics of domain growth, even for conserved order-parameter dynamics, is widely studied for short-range inter-particle interactions, systems having long-range interactions are receiving attention only recently. Here we present…

Statistical Mechanics · Physics 2024-10-18 Soumik Ghosh , Subir K. Das

We investigate a class of two-dimensional two-band microscopic models in which the inter-band repulsive interactions play the dominant role. We first demonstrate three different schemes of constraining the ratios between the three types of…

Strongly Correlated Electrons · Physics 2021-06-23 Xiaoyu Wang , Morten. H. Christensen , Erez Berg , Rafael M. Fernandes

We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum space. These pair correlations are, for…

Statistical Mechanics · Physics 2018-10-17 Alvise Bastianello , Pasquale Calabrese

The quantum long-range extended Ising model possesses several striking features that cannot be observed in the corresponding short-range model. We report that the pattern obtained from the entanglement between any two arbitrary sites of the…

Quantum Physics · Physics 2024-07-25 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukan , Aditi Sen De

Quantum simulation of spin models can provide insight into complex problems that are difficult or impossible to study with classical computers. Trapped ions are an established platform for quantum simulation, but only systems with fewer…

We consider the nonequilibrium dynamics of an interacting spin-1/2 fermion gas in a one-dimensional optical lattice after switching off the confining potential. In particular, we study the creation and the time evolution of spatially…

Quantum Gases · Physics 2013-05-31 Stefan Kessler , Ian P. McCulloch , Florian Marquardt
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