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We study the out-of-equilibrium dynamics induced by quantum quenches in quadratic Hamiltonians featuring both short- and long-range interactions. The spreading of correlations in the presence of algebraic decaying interactions,…

Statistical Mechanics · Physics 2016-09-06 Lorenzo Cevolani , Giuseppe Carleo , Laurent Sanchez-Palencia

We study the spreading of information in a wide class of quantum systems, with variable-range interactions. We show that, after a quench, it generally features a double structure, whose scaling laws are related to a set of universal…

Statistical Mechanics · Physics 2018-07-09 Lorenzo Cevolani , Julien Despres , Giuseppe Carleo , Luca Tagliacozzo , Laurent Sanchez-Palencia

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasi-particle excitations triggered by a sufficiently small quench. Here we…

Quantum Gases · Physics 2018-02-07 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

We study the non-equilibrium dynamics of correlations in quantum lattice models in the presence of long-range interactions decaying asymptotically as a power law. For exponents larger than the lattice dimensionality, a Lieb-Robinson-type…

Quantum Physics · Physics 2016-09-19 J. Eisert , M. van den Worm , S. R. Manmana , M. Kastner

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

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

We investigate the dynamical spreading of correlations in many-body quantum systems with competing short- and global-range couplings. We monitor the non-equilibrium dynamics of the correlations following a quench, showing that for strong…

Starting from a product initial state, equal-time correlations in nonrelativistic quantum lattice models propagate within a lightcone-like causal region. The presence of entanglement in the initial state can modify this behavior, enhancing…

Quantum Physics · Physics 2015-12-21 Michael Kastner

We investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder and long-range couplings with a power-law dependence on the distance ($\propto r^{-\mu}$). The increase…

Disordered Systems and Neural Networks · Physics 2022-06-01 Karol Kawa , Paweł Machnikowski

We investigate the wave packet dynamics of a pair of particles that undergoes a rapid change of scattering length. The short-range interactions are modeled in the zero-range limit, where the quench is accomplished by switching the boundary…

Quantum Gases · Physics 2016-08-10 John P. Corson , John L. Bohn

How fast can correlations spread in a quantum many-body system? Based on the seminal work by Lieb and Robinson, it has recently been shown that several interacting many-body systems exhibit an effective light cone that bounds the…

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

We study the real time evolution of the correlation functions in a globally quenched interacting one dimensional lattice system by means of time adaptive density matrix renormalization group. We find a clear light-cone behavior quenching…

Statistical Mechanics · Physics 2017-08-16 L. Barbiero , L. Dell'Anna

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

Understanding the spreading of quantum correlations in out-of-equilibrium many-body systems is one of the major challenges in physics. For {\it isolated} systems, a hydrodynamic theory explains the origin and spreading of entanglement via…

Statistical Mechanics · Physics 2021-01-27 Vincenzo Alba , Federico Carollo

The maximum speed with which information can propagate in a quantum many-body system directly affects how quickly disparate parts of the system can become correlated and how difficult the system will be to describe numerically. For systems…

We study the spreading of correlations after a local quench in a non-relativistic quantum field theory. We focus on noninteracting non-relativistic fermions and study the time evolution after two identical systems in their ground states are…

Statistical Mechanics · Physics 2017-03-08 Bruno Bertini

Locality imposes stringent constraints on the spreading of information in nonrelativistic quantum systems, which is reminiscent of a "light-cone," a casual structure arising in their relativistic counterparts. Long-range interactions can…

Disordered Systems and Neural Networks · Physics 2019-02-06 David J. Luitz , Yevgeny Bar Lev

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 derive a dynamical bound on the propagation of correlations in local random quantum circuits - lattice spin systems where piecewise quantum operations - in space and time - occur with classical probabilities. Correlations are quantified…

Quantum Physics · Physics 2017-05-15 Siddhartha Santra , Radhakrishnan Balu
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