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We investigate dissipative phase transitions in an open central spin system. In our model the central spin interacts coherently with the surrounding many-particle spin environment and is subject to coherent driving and dissipation. We…

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

Dynamical Systems · Mathematics 2014-11-04 Ugo Galvanetto , Luca Magri

We describe how to characterize dynamical phase transitions in open quantum systems from a purely dynamical perspective, namely, through the statistical behavior of quantum jump trajectories. This approach goes beyond considering only…

Statistical Mechanics · Physics 2013-04-26 Igor Lesanovsky , Merlijn van Horssen , Madalin Guta , Juan P. Garrahan

We show that optomechanical quantum systems can undergo dissipative phase transitions within the limit of small nonlinear interaction and strong external drive. In such a defined thermodynamical limit, the nonlinear interaction stabilizes…

Quantum Physics · Physics 2023-05-17 Fatemeh Bibak , Uroš Delić , Markus Aspelmeyer , Borivoje Dakić

We present exact solutions for the non-equilibrium steady states of a class of dissipative spinless fermionic systems with arbitrary Hamiltonian pairing terms, global charging energy interactions, and uniform single particle loss on every…

Quantum Physics · Physics 2026-05-12 Andrew Lingenfelter , Aashish A. Clerk

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions…

Quantum Physics · Physics 2008-09-23 S. Morrison , A. S. Parkins

The appearance of so-called exceptional points in the complex spectra of non-Hermitian systems is often associated with phenomena that contradict our physical intuition. One example of particular interest is the state-exchange process…

We develop a new fermionic path-integral formalism to analyze the phase diagram of open nonequilibrium systems. The formalism is applied to analyze an ensemble of two-level atoms interacting with a single-mode optical cavity, described by…

In this work we employ a simple pairing interaction model in order to study and classify an eventual pairing phase transition in finite fermionic systems. We show that systems with as few as 10-16 fermions can exhibit clear features…

Superconductivity · Physics 2007-05-23 A. Belic , D. J. Dean , M. Hjorth-Jensen

Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we show that the nonequilibrium steady state, constructed in the quasifree fermionic system corresponding…

Mathematical Physics · Physics 2016-09-22 Walter H. Aschbacher

While non-reciprocal couplings are ubiquitous in classical systems, their impact on quantum many-body criticality and entanglement remains largely unexplored. Using exact numerical simulations, we study an interacting fermionic chain…

Quantum Physics · Physics 2026-02-06 Rafael D. Soares , Matteo Brunelli , Marco Schirò

A wide variety of dissipative state preparation schemes suffer from a basic time-entanglement tradeoff: the more entangled the steady state, the slower the relaxation to the steady state. Here, we show how a minimal kind of adaptive…

Quantum Physics · Physics 2025-02-10 Andrew Pocklington , Aashish A. Clerk

We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid…

Mathematical Physics · Physics 2014-06-16 F. Bonetto , V. Mastropietro

The competition between unitary quantum dynamics and dissipative stochastic effects, as emerging from continuous-monitoring processes, can culminate in measurement-induced phase transitions. Here, a many-body system abruptly passes, when…

Statistical Mechanics · Physics 2025-02-04 Moritz Eissler , Igor Lesanovsky , Federico Carollo

We identify ground states of one-dimensional fermionic systems subject to competing repulsive interactions of finite range, and provide phenomenological and fundamental signatures of these phases and their transitions. Commensurable…

Strongly Correlated Electrons · Physics 2018-08-23 Marcin Szyniszewski , Henning Schomerus

Dynamic properties of fermionic systems, like contollability, reachability, and simulability, are investigated in a general Lie-theoretical frame for quantum systems theory. Observing the parity superselection rule, we treat the fully…

Quantum Physics · Physics 2014-09-18 Zoltán Zimborás , Robert Zeier , Michael Keyl , T. Schulte-Herbrueggen

We investigate the steady-state phase transitions in an all-to-all transverse-field Ising model subjected to an environment. The considered model is composed of two ingredient Hamiltonians. The orientation of the external field, which is…

Quantum Physics · Physics 2023-08-11 Linyu Song , Jiasen Jin

Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by sudden parameter changes. We discuss the characterization of such dynamical phase transitions based on the statistics of produced…

Statistical Mechanics · Physics 2015-06-03 Pietro Smacchia , Michael Knap , Eugene Demler , Alessandro Silva

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal…

Statistical Mechanics · Physics 2022-10-25 Jamir Marino , Martin Eckstein , Matthew S. Foster , Ana Maria Rey

A cornerstone of the theory of phase transitions is the observation that many-body systems exhibiting a spontaneous symmetry breaking in the thermodynamic limit generally show extensive fluctuations of an order parameter in large but finite…

Quantum Physics · Physics 2017-04-05 H. Wilming , M. J. Kastoryano , A. H. Werner , J. Eisert
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