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We study the quantum dynamics of a many-body system subject to coherent evolution and coupled to a non-Markovian bath. We propose a technique to unravel the non-Markovian dynamics in terms of quantum jumps, a connection that was so far only…

We introduce time-dependent variational principles to study the non-unitary dynamics of open quantum many-body systems, including dynamics described by the full Lindblad master equation, the non-Hermitian dynamics corresponding to the…

Quantum Physics · Physics 2025-10-15 Pasquale Filice , Marco Schirò , Giacomo Mazza

The Lindblad equation is commonly used for studying quantum dynamics in open systems that cannot be completely isolated from an environment, relevant to a broad variety of research fields, such as atomic physics, materials science, quantum…

Quantum Physics · Physics 2018-09-26 Zhu Ruan , Roi Baer

The static and dynamical properties of a one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type; a tight-binding model with asymmetric (or non-reciprocal) hopping, are studied. The static…

Quantum Physics · Physics 2023-06-21 Takahiro Orito , Ken-Ichiro Imura

Understanding the dynamics of open quantum many-body systems is a major problem in quantum matter. Specifically, efficiently solving the spectrum of the Liouvillian superoperator governing such dynamics remains a critical open challenge.…

Quantum Physics · Physics 2024-11-26 Guangze Chen , Jose L. Lado , Fei Song

The Lindblad master equation (LME) describing the Markovian dynamics of the quantum open system can be understood as the evolution of the effective non-Hermitian Hamiltonian balanced with random quantum jumps. Here we investigate the…

Quantum Physics · Physics 2025-01-13 Yu-Guo Liu , Shu Chen

Obtaining dynamics of an interacting quantum many-body system connected to multiple baths initially at different, finite, temperatures and chemical potentials is a challenging problem. This is due to a combination of the prevalence of…

Quantum Physics · Physics 2021-07-28 Archak Purkayastha , Giacomo Guarnieri , Steve Campbell , Javier Prior , John Goold

We investigate the relation between non-Hermitian Hamiltonian and Lindblad dynamics in nonequilibrium open quantum systems. Non-Hermitian models can extend phase diagrams and enable sensing advantages, but such effects often rely on…

Quantum Physics · Physics 2026-04-13 Grazia Di Bello , Fabrizio Pavan , Vittorio Cataudella , Donato Farina

The development of powerful numerical techniques has drastically improved our understanding of quantum matter out of equilibrium. Inspired by recent progress in the area of noisy intermediate-scale quantum devices, this paper highlights…

Quantum Physics · Physics 2024-04-01 Jonas Richter

Many-body physics is one very well suited field for testing quantum algorithms and for finding working heuristics on present quantum computers. We have investigated the non-equilibrium dynamics of one- and two-electron systems, which are…

Quantum Physics · Physics 2022-07-06 Sabine Tornow , Wolfgang Gehrke , Udo Helmbrecht

Non-equilibrium dynamics in non-Hermitian systems has attracted significant interest, particularly due to the skin effect and its associated anomalous phenomena. Previous studies have primarily focused on initial states with a definite…

Quantum Physics · Physics 2025-11-05 Sibo Guo , Shuai Yin , Shi-Xin Zhang , Zi-Xiang Li

Non-Hermiticity gives rise to unique topological phases that have no counterparts in Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one dimension while no topological phases appear in one-dimensional…

Strongly Correlated Electrons · Physics 2022-04-20 Kohei Kawabata , Ken Shiozaki , Shinsei Ryu

We introduce a novel computational framework for excited-states molecular quantum dynamics simulations driven by quantum computing-based electronic-structure calculations. This framework leverages the fewest-switches surface-hopping method…

Quantum Physics · Physics 2024-02-26 Anthony Gandon , Alberto Baiardi , Pauline Ollitrault , Ivano Tavernelli

Here we study the dynamics of many-body quantum systems using time dependent quantum Monte Carlo method where the evolution is described by ensembles of particles and guide waves. The exponential-time scaling inherent to the quantum…

Atomic Physics · Physics 2025-01-28 Ivan P. Christov

Entanglement entropy characterizes the correlation of multi-particles and unveils the crucial features of open quantum systems. However, the experimental realization of exploring entanglement in non-Hermitian systems remains a challenge. In…

Quantum Physics · Physics 2024-09-17 Mingyuan Gao , Chong Sheng , Yule Zhao , Runqiu He , Liangliang Lu , Wei Chen , Kun Ding , Shining Zhu , Hui Liu

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…

The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work…

Quantum Physics · Physics 2025-12-23 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

Quantum many-body systems and quantum devices experience the detrimental effects of noise and particle losses, necessitating their treatment as open quantum systems or, in approximation, as non-Hermitian systems. These systems exhibit…

Quantum Physics · Physics 2023-05-26 Wei-Zhu Yi , Hao-Jie Lin , Ze-Xun Lin , Wei-Qiang Chen

We review our results for the dynamics of isolated many-body quantum systems described by one-dimensional spin-1/2 models. We explain how the evolution of these systems depends on the initial state and the strength of the perturbation that…

Statistical Mechanics · Physics 2017-08-03 Lea F. Santos , E. Jonathan Torres-Herrera

We present an efficient \textit{ab initio} algorithm for quantum dynamics simulations of interacting systems that is based on the conditional decomposition of the many-body wavefunction [Phys. Rev. Lett. 113, 083003 (2014)]. Starting with…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Guillermo Albareda , Aaron Kelly , Angel Rubio
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