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Understanding dissipation in open quantum systems is crucial for the development of robust quantum technologies. In this work, we introduce a Transformer-based machine learning framework to infer time-dependent dissipation rates in quantum…

Quantum Physics · Physics 2025-05-13 Chi-Sheng Chen , En-Jui Kuo

In this paper we propose a continuous-time, dissipative Markov dynamics that asymptotically drives a network of n-dimensional quantum systems to the set of states that are invariant under the action of the subsystem permutation group. The…

Quantum Physics · Physics 2026-03-09 Francesco Ticozzi , Luca Mazzarella , Alain Sarlette

We study the dissipative dynamics of one-dimensional fermions, described in terms of the sine-Gordon model in its free massive boson or semi-classical limit, while keeping track of forward scattering processes. The system is prepared in the…

Strongly Correlated Electrons · Physics 2022-02-22 Á. Bácsi , C. P. Moca , G. Zaránd , B. Dóra

We investigate the dissipative dynamics yielded by the Lindblad equation within the coexistence region around a first order phase transition. In particular, we consider an exactly-solvable fullyconnected quantum Ising model with n-spin…

Statistical Mechanics · Physics 2019-09-11 Andrea Nava , Michele Fabrizio

We study dissipative phase transitions in a system of two coupled fully-connected quantum Ising models interacting with an environment. The dynamics is governed by a Lindblad master equation combining coherent unitary evolution and…

Statistical Mechanics · Physics 2026-05-01 Bidyut Dey , Andrea Nava , Domenico Giuliano

We propose a model to simulate different traffic-flow conditions in terms of quantum graphs hosting an (N+1)-level dot at each site. Our model allows us to keep track of the type and of the destination of each vehicle. The traffic flow…

Statistical Mechanics · Physics 2023-02-15 Andrea Nava , Domenico Giuliano , Alessandro Papa , Marco Rossi

We consider an open bipartite quantum system with dissipative Lindblad type dynamics. In order to study the entanglement of the stationary states, we develop a perturbative approach and apply it to the physically significant case when a…

Quantum Physics · Physics 2011-03-22 Fabio Benatti , Adam Nagy , Heide Narnhofer

Full information about a many-body quantum system is usually out-of-reach due to the exponential growth -- with the size of the system -- of the number of parameters needed to encode its state. Nonetheless, in order to understand the…

We construct lower bounds to the spectral gap of a family of Lindblad generators known as Davies maps. These maps describe the thermalization of quantum systems weakly coupled to a heat bath. The steady state of these systems is given by…

Quantum Physics · Physics 2014-12-10 Kristan Temme

We consider two non-interacting infinite quantum spin chains immersed in a common thermal environment and undergoing a local dissipative dynamics of Lindblad type. We study the time evolution of collective mesoscopic quantum spin…

Quantum Physics · Physics 2016-07-12 Fabio Benatti , Federico Carollo , Roberto Floreanini

Time-evolution of open, dissipative quantum system is a stochastic process that consists of a series of quantum jumps that take place at random times. Between quantum jumps quantum system idles for some time in a particular quantum state.…

Statistical Mechanics · Physics 2016-05-10 D. S. Kosov

We characterize nonequilibrium phases in long-range dissipative spin systems through the statistical properties of quantum jump trajectories. While the average dynamics governed by the Lindblad master equation provides access to…

Quantum Physics · Physics 2026-05-14 Giulia Salatino , Anna Delmonte , Zejian Li , Rosario Fazio , Alberto Biella

Collective radiance effects in quantum degenerate systems, such as superradiance and subradiance of a partially inverted ensemble, are shaped by the interplay of spatial confinement and exchange statistics. We investigate this interplay…

Quantum Gases · Physics 2026-04-03 Julian Lyne , Kai Phillip Schmidt , Claudiu Genes , Nico S. Bassler

We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We perform a…

Statistical Mechanics · Physics 2019-11-07 Lucas Sá

The quantum dynamics of a damped and forced harmonic oscillator is investigated in terms of a Lindblad master equation. Elementary algebraic techniques are employed allowing for example to analyze the long time behavior, i.e. the quantum…

Quantum Physics · Physics 2019-09-15 H. J. Korsch

We study the dynamics of the separation (gap) between a pair of interacting run and tumble particles (RTPs) moving in one dimension in the presence of additional thermal noise. On a ring geometry the distribution of the gap approaches a…

Statistical Mechanics · Physics 2020-08-26 Arghya Das , Abhishek Dhar , Anupam Kundu

Fast-forwarding refers to the ability to simulate a system of time $t$ using significantly fewer than $t$ queries or circuit depth. While various Hamiltonian systems are known to circumvent the no fast-forwarding theorem, analogous results…

Quantum Physics · Physics 2026-05-25 Zhong-Xia Shang , Dong An , Changpeng Shao

Nontrivial topological invariant of bulk electronic wavefunctions in two-dimensional quantum crystals leaves its footprints on the edge, dislocation, and corner modes. Here we investigate non-unitary time dynamics of these topological modes…

Mesoscale and Nanoscale Physics · Physics 2025-02-07 Saakshi Porwal , Bitan Roy

We study dissipative translationally invariant free-fermionic theories with quadratic Liouvillians. Using a Lie-algebraic approach, we solve the Lindblad equation and find the density matrix at all times for arbitrary time dependence of the…

Quantum Physics · Physics 2020-11-23 L. R. Bakker , V. I. Yashin , D. V. Kurlov , A. K. Fedorov , V. Gritsev

The Lindblad equation describes the dissipative time evolution of a density matrix that characterizes an open quantum system in contact with its environment. The widespread ensemble interpretation of a density matrix requires its time…

Quantum Physics · Physics 2020-09-04 Bernd Fernengel , Barbara Drossel