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Self-organization and nonequilibrium phase transitions are well known to occur in two- and three- dimensional dissipative systems. Here, instead, we provide numerical evidence that these phenomena also occur in a one-dimensional Hamiltonian…

Statistical Mechanics · Physics 2017-01-31 Jiao Wang , Giulio Casati

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

By using a continuum of oscillators as a reservoir, we present a classical and a quantum-mechanical treatment for the Higgs model in the presence of dissipation. In this base, a fully canonical approach is used to quantize the damped…

Quantum Physics · Physics 2015-01-15 Ehsan Amooghorban , Ali Mahdifar

In the area of topological and geometric treatment of phase transitions and symmetry breaking in Hamiltonian systems, in a recent paper some general sufficient conditions for these phenomena in $\mathbb{Z}_2$-symmetric systems (i.e.…

Statistical Mechanics · Physics 2016-11-07 Fabrizio Baroni

The sensing of external fields using quantum systems is a prime example of an emergent quantum technology. Generically, the sensitivity of a quantum sensor consisting of $N$ independent particles is proportional to $\sqrt{N}$. However,…

Quantum Physics · Physics 2020-03-27 Meghana Raghunandan , Jörg Wrachtrup , Hendrik Weimer

We study the quantum dynamics of many-body arrays of two-level atoms in a driven cavity subject to collective decay and interactions mediated by the cavity field. We work in the bad cavity limit accessible, for example, using long-lived…

Quantum Physics · Physics 2019-05-22 Diego Barberena , Robert J. Lewis-Swan , James K. Thompson , Ana Maria Rey

We consider a dissipative tight-binding chain. The dissipation manifests as tunneling into/out of the chain from/to a memoryless environment. The evolution of the system is described by the Lindblad equation. Already infinitesimally small…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 M. V. Medvedyeva , M. T. Čubrović , S. Kehrein

Embedding quantum dot circuits into microwave cavities has emerged as a novel platform for controlling photon emission statistics by electrical means. With such a circuit version of the Rabi model, we reveal previously undefined quantum…

Mesoscale and Nanoscale Physics · Physics 2025-04-14 Lei-Lei Nian , Yi-Cheng Wang , Jin-Yi Wang , Long Xiong , Bo Zheng , Jing-Tao Lü

Dynamical quantum phase transitions (DQPTs) are non-equilibrium transitions characterized by the orthogonality between an initial quantum state and its time-evolved counterpart following a sudden quench. Recently, studies of this phenomenon…

Quantum Physics · Physics 2026-05-27 Kai Zhang , Chang Shu , Kai Sun

A damped and driven collective spin system is analyzed by using quantum state diffusion. This approach allows for a mostly analytical treatment of the investigated non-equilibrium quantum many body dynamics, which features a phase…

Quantum Physics · Physics 2019-07-03 Valentin Link , Kimmo Luoma , Walter T. Strunz

When studying out-of-equilibrium systems, one often excites the dynamics in some degrees of freedom while removing the excitation in others through damping. In order for the system to converge to a statistical steady state, the dynamics…

Probability · Mathematics 2025-03-26 David P. Herzog , Jonathan C. Mattingly

A quantum dissipation theory is formulated in terms of hierarchically coupled equations of motion for an arbitrary electronic system coupled with grand canonical Fermion bath ensembles. The theoretical construction starts with the…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Jinshuang Jin , Xiao Zheng , YiJing Yan

We consider a driven damped anharmonic oscillator which classically leads to a bistable steady state and to hysteresis. The quantum counterpart for this system has an exact analytical solution in the steady state which does not display any…

Quantum Physics · Physics 2009-10-30 M. Rigo , G. Alber , F. Mota-Furtado , P. F. O'Mahony

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

Chemical Physics · Physics 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

We discuss the effect of dissipation on quantum phase transitions. In particular we concentrate on the Superconductor to Insulator and Quantum-Hall to Insulator transitions. By invoking a phenomenological parameter $\alpha$ to describe the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Aharon Kapitulnik , Nadya Mason , Steven A. Kivelson , Sudip Chakravarty

Spontaneous symmetry breaking is a hallmark of equilibrium systems, typically characterized by a single critical point separating ordered and disordered phases. Recently, a novel class of non-equilibrium phase transitions was uncovered…

Statistical Mechanics · Physics 2025-12-16 Gustavo A. L. Forão , Jonas Berx , Tan Van Vu , Carlos E. Fiore

Dynamical quantum phase transitions can occur following quenches in quantum systems when the rate function, a dynamical analogue of the free energy, becomes non-analytic at critical times. Here we exhaustively investigate in an exemplary…

Statistical Mechanics · Physics 2023-10-20 Hadi Cheraghi , Nicholas Sedlmayr

We report here the experimental observation of a dynamical quantum phase transition in a strongly interacting open photonic system. The system studied, comprising a Jaynes-Cummings dimer realized on a superconducting circuit platform,…

Quantum Physics · Physics 2016-04-07 James Raftery , Darius Sadri , Sebastian Schmidt , Hakan E. Türeci , Andrew A. Houck

The resonant-level model represents a paradigmatic quantum system which serves as a basis for many other quantum impurity models. We provide a comprehensive analysis of the non-equilibrium transport near a quantum phase transition in a…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Chung-Hou Chung , Karyn Le Hur , Gleb Finkelstein , Matthias Vojta , Peter Woelfle

Controlling atom-photon interactions in engineered environments is central to quantum optics and emerging quantum technologies. Non-Hermitian (NH) photonic baths, where dissipation fundamentally reshapes spectral and dynamical properties,…

Quantum Physics · Physics 2025-12-01 Stefano Longhi