Article
Materials Science, Multidisciplinary
Paola Ruggiero, Xhek Turkeshi
Summary: In this paper, we study the spreading of quantum correlations and information in a one-dimensional quantum spin chain with critical disorder. Our focus is on the dynamics after a quantum quench of various entanglement measures in the prototypical XXZ spin chain with random bonds and anisotropy parameters. We provide analytic predictions in the scaling regime based on real-space renormalization-group methods, and support our findings through numerical simulations in the noninteracting limit.
Article
Materials Science, Multidisciplinary
Adam Bacsi, Balazs Dora
Summary: The study investigates a quantum quench from a critical to an exceptional point using a non-Hermitian model, revealing characteristics such as supersonic modes and changes in entropy production rate. The research shows that in this model, entanglement entropy stabilizes at a certain value over time, following a volume law.
Article
Materials Science, Multidisciplinary
Xhek Turkeshi, Marco Schiro
Summary: Non-Hermitian quantum many-body systems exhibit exotic properties and have attracted extensive attention due to their unconventional quantum criticality and topology. In this study, we investigate the propagation of quantum information and correlations under a quantum quench generated by a prototype non-Hermitian spin chain. By mapping the system to fermions, we solve the problem exactly and compute the entanglement entropy and correlation dynamics in the thermodynamic limit. Our results reveal two dynamical phases with distinct characteristics in terms of entanglement and correlation behavior, demonstrating rich physics in non-Hermitian many-body systems.
Article
Mechanics
Gilles Parez, Riccarda Bonsignori, Pasquale Calabrese
Summary: The discussion focuses on the impact of global internal symmetry on entanglement properties in quantum many-body systems, and examines the non-equilibrium state of the system through the study of dynamics of charge-imbalance entanglement and charged Renyi logarithmic negativities. The research findings suggest that under specific conditions, the entanglement exhibits equipartition behavior.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Physics, Multidisciplinary
Nicolas P. Bauer, Jan Carl Budich, Alessio Calzona, Bjoern Trauzettel
Summary: We propose a novel spatially inhomogeneous setup to study the effects of quench-induced fractionalized excitations in entanglement dynamics. By coupling a region undergoing quantum quench to a static probe region, we can monitor the time-dependent entanglement signatures of a tunable subset of excitations. We demonstrate the power of this approach by identifying a unique dynamical signature associated with the presence of an isolated Majorana zero mode in the postquench Hamiltonian, which results in a fractionalized jump in the entanglement entropy of the probe.
PHYSICAL REVIEW LETTERS
(2023)
Article
Materials Science, Multidisciplinary
Christopher M. Langlett, Shenglong Xu
Summary: This work introduces a family of spin-1/2 many-body Hamiltonians based on the Fredkin spin chain, featuring a fragmented Hilbert space and quantum many-body scars. Exact middle spectrum eigenstates are constructed to demonstrate logarithmic or area-law entanglement entropy within each fractured subsector. The interplay between fragmentation and scarring results in rich tunable nonergodic dynamics.
Article
Materials Science, Multidisciplinary
Ceren B. Dag, Yidan Wang, Philipp Uhrich, Xuesen Na, Jad C. Halimeh
Summary: We find a self-similar prethermal dynamical regime in the time evolution of one-dimensional spin chains when quenching near a quantum phase transition. This regime is analytically determined by the ground-state energy gap and exists universally regardless of the probe site, weak interactions, or the initial state. The resulting prethermal dynamics result in an out-of-equilibrium scaling function of the order parameter near the transition. Our theory suggests that sudden quench dynamics can lead to universal critical slowing down near the critical point.
Article
Optics
G. Mouloudakis, T. Ilias, P. Lambropoulos
Summary: In this work, a recursive method for calculating the wave function of an XX spin chain is presented. The method is based on the time-dependent Schrodinger's equations and allows for closed-form solutions of the transformed amplitudes. The results demonstrate the system's dynamics and state-transfer properties for various parameter combinations, with detailed comparisons of Lorentzian and Ohmic reservoirs.
Article
Physics, Multidisciplinary
Xiao-Qiang Su, Zong-Ju Xu, You-Quan Zhao
Summary: Exploring the role of entanglement in quantum nonequilibrium dynamics is important to understand the mechanism of thermalization in an isolated system. We study the relaxation dynamics in a one-dimensional extended Bose-Hubbard model after a global interaction quench by considering several observables: the local Boson numbers, the nonlocal entanglement entropy, and the momentum distribution functions. The results show that the degree of thermalization is affected by the distance from the integrable point and the size of the subsystem. The Pearson coefficient is employed to measure the correlation between the entanglement entropy and thermalization fidelity, and a strong correlation is demonstrated for the quenched system.
Article
Materials Science, Multidisciplinary
Hadi Cheraghi, Saeed Mahdavifar, Henrik Johannesson
Summary: 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. By analyzing the exact results of the model, we find that a proper choice of protocol can create spin-squeezed nonequilibrium states from an unsqueezed state. We also observe a nonanalyticity in the long-time average of the spin-squeezing parameter when quenching to the equilibrium quantum critical point, indicating different redistribution of quantum fluctuations among the spin components in the ferro-and paramagnetic phases away from equilibrium.
Article
Physics, Multidisciplinary
Pai Peng, Chao Yin, Xiaoyang Huang, Chandrasekhar Ramanathan, Paola Cappellaro
Summary: Periodically driven Floquet quantum systems can enter a long-lived prethermal regime at high driving frequencies, with an exponentially slow heating rate. Experimental observation of prethermalization and other properties of Floquet systems demonstrate the potential for realizing non-trivial Floquet phases of matter.
Article
Mechanics
Stefano Scopa, David X. Horvath
Summary: The study investigates the non-equilibrium dynamics of symmetry-resolved Renyi entropies in a one-dimensional gas of non-interacting spinless fermions using quantum generalised hydrodynamics. The research shows an asymptotic logarithmic growth of charged moments at half system and an asymptotic restoration of equipartition of entropy among symmetry sectors with deviations proportional to the square of the inverse of the total entropy as time and the entangling position change.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Optics
Zhao-Yu Sun, Meng Li, Long-Hui Sheng, Bin Guo
Summary: This paper investigates multipartite nonlocality as an important measure of multipartite quantum correlations. By utilizing matrix product operator and tensor networks, the calculation of nonlocality measure is simplified for various 1D spin chain models. The study reveals interesting behaviors of multipartite nonlocality in finite-temperature regions of these models.
Article
Mechanics
Peter Reimann
Summary: The observable long-time behavior of an isolated many-body system after a quantum quench is studied, and it is found that for common spin Hamiltonians, there is an absence of thermalization. The pre-quench Hamiltonian must exhibit a Z (2) symmetry, while the post-quench Hamiltonian must violate this symmetry.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Quantum Science & Technology
Saikat Sur, V Subrahmanyam
Summary: We investigated the propagation of local bipartite quantum correlations and tripartite mutual information to characterize information scrambling during the dynamical evolution of spin chains. The results show that local correlations spread consistently in spin-conserving dynamics.
QUANTUM INFORMATION PROCESSING
(2022)
Review
Physics, Multidisciplinary
B. Bertini, F. Heidrich-Meisner, C. Karrasch, T. Prosen, R. Steinigeweg, M. Znidaric
Summary: Significant progress has been made in the theoretical understanding of transport properties in one-dimensional quantum lattice systems in the past decade, with Bethe-ansatz integrable models and novel simulation methods playing important roles. The discovery of quasilocal conserved quantities provides insight into the origins of finite-temperature transport behavior, while state-of-the-art theoretical methods, including matrix-product-state-based simulation and generalized hydrodynamics, are discussed. The close connection between theoretical models and recent experiments, particularly in the context of quantum magnets and ultracold quantum gases in optical lattices, is also highlighted.
REVIEWS OF MODERN PHYSICS
(2021)
Article
Physics, Multidisciplinary
Vincenzo Alba, Federico Carollo
Summary: We study the dynamics of quantum information and correlations in transverse field Ising chains after a quantum quench under generic linear dissipation. In the hydrodynamic limit, entropy-related quantities have a simple description within the quasiparticle picture. We analytically derive a universal formula that describes the dynamics of correlations in dissipative noninteracting systems. The mutual information grows up to a time scale proportional to the inverse dissipation rate and then decreases, vanishing in the long time limit.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Mechanics
Vincenzo Alba, Bruno Bertini, Maurizio Fagotti, Lorenzo Piroli, Paola Ruggiero
Summary: This paper provides a pedagogical introduction to the generalized hydrodynamic approach in inhomogeneous quenches in integrable many-body quantum systems, focusing on applications to bipartitioning protocols and trap quenches. Exact results for time-dependent correlation functions and entanglement evolution are discussed, as well as the theory's range of applicability, open questions, and future directions.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Chemistry, Physical
M. ten Brink, S. Graeber, M. Hopjan, D. Jansen, J. Stolpp, F. Heidrich-Meisner, P. E. Bloechl
Summary: In this study, we benchmarked several quantum-chemistry methods against exact quantum-many-body techniques by studying real-time dynamics in the Holstein model. We found that the multitrajectory Ehrenfest method accurately captures ultrashort time dynamics, while the surface-hopping method with corrections provides a better description of long-time behavior. The multiconfigurational Ehrenfest method is a significant improvement over the multitrajectory Ehrenfest method in small systems, but convergence is slower for extended systems. We also showed that DMRG-LBO is a useful tool for evaluating the quality of quantum-chemistry methods.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Physics, Multidisciplinary
Bruno Bertini, Katja Klobas, Vincenzo Alba, Gianluca Lagnese, Pasquale Calabrese
Summary: This article investigates the issue of slope in Re acute accent nyi entropies, where after a quantum quench in a quantum many-body system, entanglement entropy exhibits universal linear growth and saturation. The article determines the slope of the entanglement entropy through a spacetime duality transformation and finds an explicit formula for it.
Article
Physics, Multidisciplinary
Sascha Wald, Raul Arias, Vincenzo Alba
Summary: We investigate the finite-size scaling of the entanglement gap in the one-dimensional long-range quantum spherical model, where a continuous phase transition occurs depending on the long-range exponent a. In the paramagnetic phase, the entanglement gap is finite, while it vanishes in the ferromagnetic phase. The scaling behavior of the entanglement gap in the ferromagnetic phase is described by a power law with a constant term depending on the low-energy properties of the model and the system size.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Physics, Multidisciplinary
Vincenzo Alba, Federico Carollo
Summary: In this paper, we investigate the fermionic logarithmic negativity in a tightbinding chain subjected to gain and loss dissipation. The dynamics after a quantum quench from the fermionic Neel state is focused on. The results show that, in the limit of large subsystems and long times, the negativity is proportional to the number of entangled pairs of quasiparticles shared between the two intervals.
Article
Materials Science, Multidisciplinary
Suman Mondal, Eric Bertok, Fabian Heidrich-Meisner
Summary: The study focuses on the topological Thouless pumping in many-body systems where charge carriers interact with local optical phonons. The quantized charge transport breaks down in the presence of phonons, and there can be non-quantized negative and positive charge transport. The modified effective pumping path due to electron-phonon coupling accurately explains the underlying physics.
Article
Materials Science, Multidisciplinary
Antonio D'Abbruzzo, Vincenzo Alba, Davide Rossini
Summary: In this study, we investigated the quantum information spreading in one-dimensional free-fermion systems with localized thermal baths using a nonlocal Lindblad master equation. The results showed that the singularity of the free-fermion dispersion leads to singular behavior of the steady-state mutual information as a function of system parameters. By analyzing the logarithmic scaling, a prefactor was derived, which depends on the parameters of the baths and acts as an effective central charge.
Article
Materials Science, Multidisciplinary
Federico Carollo, Vincenzo Alba
Summary: In this study, the dynamics of entanglement in a noninteracting system subject to continuous monitoring was analyzed. The existing semiclassical theory based on entangled pairs was found to be insufficient to explain the complex behavior of quantum correlations. The presence of multipartite quantum correlations inconsistent with an entangled-pair structure was discovered, indicating the need for larger multiplets. It was also observed that quantum information is highly delocalized and shared in a collective nonredundant manner among adjacent regions of the many-body system. This research sheds light on the behavior of correlations in quantum stochastic dynamics and highlights the potential enhancement of correlations through continuous monitoring.
Article
Materials Science, Multidisciplinary
E. Bertok, F. Heidrich-Meisner, A. A. Aligia
Summary: The study focuses on splitting a critical point into two separate critical points by adding a Hubbard interaction and extending it to a spinful Rice-Mele model. The research investigates the charge and spin transport between two systems in various scenarios, including adding staggered magnetic fields or Ising-type spin couplings.
Article
Materials Science, Multidisciplinary
Federico Carollo, Vincenzo Alba
Summary: We develop a dissipative quasiparticle picture to describe the quantum entropies and mutual information in the limit of large space-time coordinates with their ratio being fixed. This is shown to be valid for quadratic open quantum systems.
Article
Materials Science, Multidisciplinary
Vincenzo Alba, Federico Carollo
Summary: This study investigates the interplay between unitary and nonunitary dynamics in a noninteracting fermionic chain after a quantum quench. The effect of localized loss processes is considered, and a simple hydrodynamic description model is proposed. Under strong loss and gain rates, the coherent dynamics of the system is arrested, exhibiting the quantum Zeno effect.
Article
Materials Science, Multidisciplinary
Miroslav Hopjan, Giuliano Orso, Fabian Heidrich-Meisner
Summary: This study investigates the delocalization transition in closed quantum systems with a many-body localized phase using a quantitative measure for Fock-space localization. The scaling behavior across delocalization transitions is systematically studied, and critical points are identified from scaling collapses of numerical data. Different scaling behavior is observed for interacting fermions with random disorder, indicative of a Kosterlitz-Thouless transition.
Article
Materials Science, Multidisciplinary
Vincenzo Alba, Federico Carollo
Summary: This study reveals that in open quantum systems, information is still spread by quasiparticles, but the environment modifies their correlation and introduces incoherent and mixing effects. For free fermions with gain/loss dissipation, the research provides formulas describing the spreading of entropy and mutual information, showing that mutual information exponentially decays at short times and eventually vanishes.