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The dissipative variant of the Ising model in a transverse field is one of the most important models in the analysis of open quantum many-body systems, due to its paradigmatic character for understanding driven-dissipative quantum phase…

Quantum Physics · Physics 2023-11-15 David Roberts , Aashish A. Clerk

The optomechanical state transfer protocol provides effective, lossy, quantum beam-splitter-like dynamics where the strength of the coupling between the electromagnetic and mechanical modes is controlled by the optical steady-state…

We theoretically explore quantum correlation properties of a dissipative Bose-Hubbard dimer in presence of a coherent drive. In particular, we focus on the regime where the semiclassical theory predicts a bifurcation with a spontaneous…

Quantum Physics · Physics 2017-01-10 Wim Casteels , Cristiano Ciuti

We consider a class of open quantum many-body Lindblad dynamics characterized by an all-to-all coupling Hamiltonian and by dissipation featuring collective ``state-dependent" rates. The latter encodes local incoherent transitions that…

Statistical Mechanics · Physics 2023-08-16 Eliana Fiorelli , Markus Müller , Igor Lesanovsky , Federico Carollo

We investigate the behavior of the Schmidt gap, the von Neumann entanglement entropy, and the non-stabiliserness in proximity to the classical phase transition of the one-dimensional long-range transverse-field Ising model (LRTFIM).…

Strongly Correlated Electrons · Physics 2026-03-24 Meghadeepa Adhikary , Nishan Ranabhat , Mario Collura

The dynamical evolution of an open quantum system can be governed by the Lindblad equation of the density matrix. In this paper, we propose to characterize the density matrix topology by the topological invariant of its modular Hamiltonian.…

Mesoscale and Nanoscale Physics · Physics 2024-06-27 Liang Mao , Fan Yang , Hui Zhai

Dissipative Rydberg gases are an outstanding platform for the investigation of many-body quantum open systems. Despite the wealth of existing studies, the non-equilibrium dynamics of dissipative Rydberg gases are rarely examined or…

Quantum Gases · Physics 2024-02-06 Chongwu Xie , Konghao Sun , Kang-Da Wu , Chuan-Feng Li , Guang-Can Guo , Wei Yi , Guo-Yong Xiang

We study the coherent quantum evolution of a closed and driven mesoscopic chain of two-level systems that interact via the van-der-Waals interaction in their excited state. The Hamiltonian consists of a part corresponding to a classical…

Statistical Mechanics · Physics 2010-09-10 Igor Lesanovsky , Beatriz Olmos , Juan P. Garrahan

For multi-level open quantum system, the interaction between different levels could pose challenge to understand the quantum system both analytically and numerically. In this work, we study the approximation of the dynamics of the…

Quantum Physics · Physics 2018-01-17 Yu Cao , Jianfeng Lu

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

Quantum Gases · Physics 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

We investigate the evolution of interacting Rydberg gases in the limit of strong noise and dissipation. Starting from a description in terms of a Markovian quantum master equation we derive effective equations of motion that govern the…

Quantum Physics · Physics 2014-11-27 M Marcuzzi , J Schick , B Olmos , I Lesanovsky

We discuss the quantum--classical correspondence in a specific dissipative chaotic system, Duffing oscillator. We quantize it on the basis of quantum state diffusion (QSD) which is a certain formulation for open quantum systems and an…

Quantum Physics · Physics 2009-06-06 Yukihiro Ota , Ichiro Ohba

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

Quantum Physics · Physics 2024-02-21 Sofia Sgroi , Mauro Paternostro

Time crystals, as temporal analogs of space crystals, manifest as stable and periodic behavior that breaks time translation symmetry. In an open quantum system, many-body interaction subjected to dissipation allows one to develop the time…

Atomic Physics · Physics 2025-10-09 Yuechun Jiao , Weilun Jiang , Yu Zhang , Jingxu Bai , Yunhui He , Heng Shen , Jianming Zhao , Suotang Jia

We study relaxation times, also called mixing times, of quantum many-body systems described by a Lindblad master equation. We in particular study the scaling of the spectral gap with the system length, the so-called dynamical exponent,…

Statistical Mechanics · Physics 2015-10-30 Marko Znidaric

We study the spatio-temporal spreading of correlations in an ensemble of spins due to dissipation characterized by short- and long-range spatial profiles. We consider systems initially in an uncorrelated state, and find that correlations…

Quantum Gases · Physics 2022-05-25 Kushal Seetharam , Alessio Lerose , Rosario Fazio , Jamir Marino

The interaction of (two-level) Rydberg atoms with dissipative QED cavity fields can be described classically or quantum mechanically, even for very low temperatures and mean number of photons, provided the damping constant is large enough.…

Quantum Physics · Physics 2012-02-21 R. D. Guerrero Mancilla , R. R. Rey-González , K. M. Fonseca-Romero

Lindbladian formalism, as tuned to dissipative and open systems, has been all-pervasive to interpret non-equilibrium steady states of quantum many-body systems. We study the fate of free fermionic and superconducting phases in a dissipative…

Strongly Correlated Electrons · Physics 2024-04-17 Rohan Joshi , Saikat Mondal , Souvik Bandyopadhyay , Sourav Bhattacharjee , Adhip Agarwala

The stability of a discrete time crystal against thermal fluctuations has been studied numerically by solving a stochastic Landau-Lifshitz-Gilbert equation of a periodically-driven classical system composed of interacting spins, each of…

Statistical Mechanics · Physics 2022-03-24 Mingxi Yue , Xiaoqin Yang , Zi Cai

Among the most iconic features of classical dissipative dynamics are persistent limit-cycle oscillations and critical slowing down at the onset of such oscillations, where the system relaxes purely algebraically in time. On the other hand,…

Quantum Physics · Physics 2025-02-10 Shovan Dutta , Shu Zhang , Masudul Haque