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Quantum information can be encoded in the set of steady-states (SSS) of a driven-dissipative system. Non steady-states are separated by a large dissipative gap that adiabatically decouples them way while the dynamics inside the SSS is…

Quantum Physics · Physics 2015-06-03 Paolo Zanardi , Lorenzo Campos Venuti

Exact solutions of quantum lattice models serve as useful guides for interpreting physical phenomena in condensed matter systems. Prominent examples of integrability appear in one dimension, including the Heisenberg chain, where the Bethe…

Strongly Correlated Electrons · Physics 2025-01-27 Ronald Melendrez , Bhaskar Mukherjee , Marcin Szyniszewski , Christopher J. Turner , Arijeet Pal , Hitesh J. Changlani

Many low-dimensional materials are well described by integrable one-dimensional models such as the Hubbard model of electrons or the Heisenberg model of spins. However, the small perturbations to these models required to describe real…

Strongly Correlated Electrons · Physics 2013-10-02 Y. Huang , C. Karrasch , J. E. Moore

In multistate non-Hermitian systems, higher-order exceptional points and exotic phenomena with no analogues in two-level systems arise. A paradigm is the exceptional nexus (EX), a third-order EP as the cusp singularity of exceptional arcs…

Quantum Physics · Physics 2024-06-21 Chenhao Wang , Nan Li , Jin Xie , Cong Ding , Zhonghua Ji , Liantuan Xiao , Suotang Jia , Ying Hu , Yanting Zhao

Thermalization in quantum many-body systems typically unfolds over timescales governed by intrinsic relaxation mechanisms. Yet, its spatial aspect is less understood. We investigate this phenomenon in the nonequilibrium steady state (NESS)…

Quantum Physics · Physics 2025-10-22 Filippo Ferrari , Fabrizio Minganti , Camille Aron , Vincenzo Savona

We study statistical characterization of the many-body states in exactly solvable models with internal degrees of freedom. The models under consideration include the isotropic and anisotropic Heisenberg spin chain, the Hubbard chain, and a…

Condensed Matter · Physics 2009-10-28 Y. Hatsugai , M. Kohmoto , T. Koma , Y. -S. Wu , Comments

We present a coherent scenario for the physics of cuprate superconductors, which is based on a charge-driven inhomogeneity, i.e. the ``stripe phase''. We show that spin and charge critical fluctuations near the stripe instability of…

Superconductivity · Physics 2009-10-31 S. Caprara , C. Castellani , C. Di Castro , M. Grilli , A. Perali

The isotropic Heisenberg chain represents a particular case of an integrable many-body system exhibiting superdiffusive spin transport at finite temperatures. Here, we show that this model has distinct properties also at finite…

Strongly Correlated Electrons · Physics 2023-10-09 S. Nandy , Z. Lenarčič , E. Ilievski , M. Mierzejewski , J. Herbrych , P. Prelovšek

We investigate the eigenstate thermalization hypothesis (ETH) in integrable models, focusing on the spin-1/2 isotropic Heisenberg (XXX) chain. We provide numerical evidence that ETH holds for typical eigenstates (weak ETH scenario).…

Strongly Correlated Electrons · Physics 2015-04-22 Vincenzo Alba

The classical theory of linear response applies to statistical mechanics close to equilibrium. Away from equilibrium, one may describe the microscopic time evolution by a general differentiable dynamical system, identify nonequilibrium…

Chaotic Dynamics · Physics 2009-11-13 David Ruelle

The spectrum of integrable spin chains are shown to be independent of the ordering of their spins. As an application we introduce defects (local spin inhomogeneities in homogenous chains) in two-boundary spin systems and, by changing their…

High Energy Physics - Theory · Physics 2011-02-16 Z. Bajnok

We study a gas of $N$ diffusing particles on the line subject to batch resetting: at rate $r$, a uniformly random subset of $m$ particles is reset to the origin. Despite the absence of interactions, the dynamics generates a nonequilibrium…

Statistical Mechanics · Physics 2026-02-06 Gabriele de Mauro , Satya N. Majumdar , Gregory Schehr

Spontaneous symmetry breaking occurs in various equilibrium and nonequilibrium systems, where phase transitions are typically marked by a single critical point that separates ordered and disordered regimes. We reveal a novel phenomenon in…

Non-equilibrium steady states (NESS) of Markov processes give rise to non-trivial cyclic probability fluxes. Cycle decompositions of the steady state offer an effective description of such fluxes. Here, we present an iterative cycle…

We investigate the real-time dynamics of open quantum spin-$1/2$ or hardcore boson systems on a spatial lattice, which are governed by a Markovian quantum master equation. We derive general conditions under which the hierarchy of…

Quantum Physics · Physics 2016-07-08 Stephan Caspar , Florian Hebenstreit , David Mesterházy , Uwe-Jens Wiese

Photodoped states are widely observed in laser-excited Mott insulators, in which charge excitations are quickly created and can exist beyond the duration of the external driving. Despite the fruitful experimental explorations, theoretical…

Strongly Correlated Electrons · Physics 2021-01-27 Jiajun Li , Martin Eckstein

The active harnessing of quantum resources in engineered quantum devices poses unprecedented requirements on device control. Besides the residual interaction with the environment, causing environment-induced decoherence, uncontrolled…

Quantum Physics · Physics 2020-06-17 Clemens Gneiting

Large deviations of conservative interacting particle systems, such as the zero range process, about their hydrodynamic limit and their respective rate functions lead to the analysis of the skeleton equation; a degenerate…

Probability · Mathematics 2022-03-16 Benjamin Fehrman , Benjamin Gess

We investigate the transport of excitations through a chain of atoms with non-local dissipation introduced through coupling to additional short-lived states. The system is described by an effective spin-1/2 model where the ratio of the…

Atomic Physics · Physics 2015-09-02 H. Schempp , G. Günter , S. Wüster , M. Weidemüller , S. Whitlock

We investigate the nonlinear dissipative coherence bifurcation and population dynamics of a two-component atomic Bose-Einstein condensate coupling with a continuum. The coupling between the two-component condensates and the continuum brings…

Quantum Gases · Physics 2014-01-23 Honghua Zhong , Qiongtao Xie , Jun Xu , Wenhua Hai , Chaohong Lee