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Open quantum systems host a wide range of intriguing phenomena, yet their simulation on well-controlled quantum devices is challenging, owing to the exponential growth of the Hilbert space and the inherently non-unitary nature of the…

In experimentally realistic situations, quantum systems are never perfectly isolated and the coupling to their environment needs to be taken into account. Often, the effect of the environment can be well approximated by a Markovian master…

Quantum Physics · Physics 2019-07-03 Michael J. Hartmann , Giuseppe Carleo

The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic…

Statistical Mechanics · Physics 2018-12-19 Jiasen Jin , Alberto Biella , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

We present a novel generic framework to approximate the non-equilibrium steady states of dissipative quantum many-body systems. It is based on the variational minimization of a suitable norm of the quantum master equation describing the…

Quantum Physics · Physics 2015-02-20 Hendrik Weimer

Open many-body quantum systems have attracted renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. The physical relevance in many-particle bosonic systems…

Quantum Gases · Physics 2015-10-02 G. Kordas , D. Witthaut , P. Buonsante , A. Vezzani , R. Burioni , A. I. Karanikas , S. Wimberger

We discuss a new analytical approach to real-time evolution in quantum many-body systems. Our approach extends the framework of continuous unitary transformations such that it amounts to a novel solution method for the Heisenberg equations…

Strongly Correlated Electrons · Physics 2009-11-13 A. Hackl , S. Kehrein

We discuss how quantum jumps affect localized regimes in driven-dissipative disordered many-body systems featuring a localization transition. We introduce a deformation of the Lindblad master equation that interpolates between the standard…

Quantum Physics · Physics 2024-05-08 Sparsh Gupta , Hari Kumar Yadalam , Manas Kulkarni , Camille Aron

These Lecture Notes discuss the recent theoretical advances in the understanding of open quantum many-body physics in platforms where both dissipative and coherent processes can be tuned and controlled to a high degree. We start by…

Quantum Physics · Physics 2025-08-20 Rosario Fazio , Jonathan Keeling , Leonardo Mazza , Marco Schirò

Recent experiments with quantum simulators using ultracold atoms and superconducting qubits have demonstrated the potential of controlled dissipation as a versatile tool for realizing correlated many-body states. However, determining the…

Controllable, coherent many-body systems can provide insights into the fundamental properties of quantum matter, enable the realization of new quantum phases and could ultimately lead to computational systems that outperform existing…

We present an approach to the numerical simulation of open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to integrate the quantum master…

Statistical Mechanics · Physics 2022-06-01 Vijay Pal Singh , Hendrik Weimer

In this work we apply deep neural networks to find the non-equilibrium steady state solution to correlated open quantum many-body systems. Motivated by the ongoing search to find more powerful representations of (mixed) quantum states, we…

Quantum Physics · Physics 2025-01-13 Johannes Mellak , Enrico Arrigoni , Wolfgang von der Linden

We develop a variational approach to simulating the dynamics of open quantum many-body systems using deep autoregressive neural networks. The parameters of a compressed representation of a mixed quantum state are adapted dynamically…

Strongly Correlated Electrons · Physics 2021-12-03 Moritz Reh , Markus Schmitt , Martin Gärttner

We explore the relaxation dynamics of quantum many-body systems that undergo purely dissipative dynamics through non-classical jump operators that can establish quantum coherence. Our goal is to shed light on the differences in the…

Quantum Physics · Physics 2015-06-22 Beatriz Olmos , Igor Lesanovsky , Juan P. Garrahan

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

This text is a short introduction to the physics of driven-dissipative many-body systems, focusing on a few selected topics. Beyond its more ``historical'' interest in the study of atomic physics and quantum optics, presently the modeling…

Quantum Physics · Physics 2026-04-02 Fabrizio Minganti , Alberto Biella

We show that the dynamical symmetry exists in dissipative quantum many-body systems. Under constraints on both Hamiltonian and dissipation parts, the time evolution of particular observables can be symmetric between repulsive and attractive…

Strongly Correlated Electrons · Physics 2022-06-01 Yi Zheng , Shuo Yang

Engineered dissipative reservoirs have the potential to steer many-body quantum systems toward correlated steady states useful for quantum simulation of high-temperature superconductivity or quantum magnetism. Using up to 49 superconducting…

Quantum Physics · Physics 2024-04-09 X. Mi , A. A. Michailidis , S. Shabani , K. C. Miao , P. V. Klimov , J. Lloyd , E. Rosenberg , R. Acharya , I. Aleiner , T. I. Andersen , M. Ansmann , F. Arute , K. Arya , A. Asfaw , J. Atalaya , J. C. Bardin , A. Bengtsson , G. Bortoli , A. Bourassa , J. Bovaird , L. Brill , M. Broughton , B. B. Buckley , D. A. Buell , T. Burger , B. Burkett , N. Bushnell , Z. Chen , B. Chiaro , D. Chik , C. Chou , J. Cogan , R. Collins , P. Conner , W. Courtney , A. L. Crook , B. Curtin , A. G. Dau , D. M. Debroy , A. Del Toro Barba , S. Demura , A. Di Paolo , I. K. Drozdov , A. Dunsworth , C. Erickson , L. Faoro , E. Farhi , R. Fatemi , V. S. Ferreira , L. F. Burgos E. Forati , A. G. Fowler , B. Foxen , E. Genois , W. Giang , C. Gidney , D. Gilboa , M. Giustina , R. Gosula , J. A. Gross , S. Habegger , M. C. Hamilton , M. Hansen , M. P. Harrigan , S. D. Harrington , P. Heu , M. R. Hoffmann , S. Hong , T. Huang , A. Huff , W. J. Huggins , L. B. Ioffe , S. V. Isakov , J. Iveland , E. Jeffrey , Z. Jiang , C. Jones , P. Juhas , D. Kafri , K. Kechedzhi , T. Khattar , M. Khezri , M. Kieferova , S. Kim , A. Kitaev , A. R. Klots , A. N. Korotkov , F. Kostritsa , J. M. Kreikebaum , D. Landhuis , P. Laptev , K. -M. Lau , L. Laws , J. Lee , K. W. Lee , Y. D. Lensky , B. J. Lester , A. T. Lill , W. Liu , A. Locharla , F. D. Malone , O. Martin , J. R. McClean , M. McEwen , A. Mieszala , S. Montazeri , A. Morvan , R. Movassagh , W. Mruczkiewicz , M. Neeley , C. Neill , A. Nersisyan , M. Newman , J. H. Ng , A. Nguyen , M. Nguyen , M. Y. Niu , T. E. OBrien , A. Opremcak , A. Petukhov , R. Potter , L. P. Pryadko , C. Quintana , C. Rocque , N. C. Rubin , N. Saei , D. Sank , K. Sankaragomathi , K. J. Satzinger , H. F. Schurkus , C. Schuster , M. J. Shearn , A. Shorter , N. Shutty , V. Shvarts , J. Skruzny , W. C. Smith , R. Somma , G. Sterling , D. Strain , M. Szalay , A. Torres , G. Vidal , B. Villalonga , C. V. Heidweiller , T. White , B. W. K. Woo , C. Xing , Z. J. Yao , P. Yeh , J. Yoo , G. Young , A. Zalcman , Y. Zhang , N. Zhu , N. Zobrist , H. Neven , R. Babbush , D. Bacon , S. Boixo , J. Hilton , E. Lucero , A. Megrant , J. Kelly , Y. Chen , P. Roushan , V. Smelyanskiy , D. A. Abanin

We investigate the effects of dissipation on the quantum dynamics of many-body systems at quantum transitions, especially considering those of the first order. This issue is studied within the paradigmatic one-dimensional quantum Ising…

Statistical Mechanics · Physics 2020-12-08 Giovanni Di Meglio , Davide Rossini , Ettore Vicari

We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is the unique stationary state and solve the…

Quantum Physics · Physics 2012-09-12 B. Kraus , H. P. Büchler , S. Diehl , A. Kantian , A. Micheli , P. Zoller
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