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We investigate the robustness of a dynamical phase transition against quantum fluctuations by studying the impact of a ferromagnetic nearest-neighbour spin interaction in one spatial dimension on the non-equilibrium dynamical phase diagram…

Statistical Mechanics · Physics 2018-04-09 A. Lerose , J. Marino , B. Zunkovic , A. Gambassi , A. Silva

We discuss an open driven-dissipative many-body system, in which the competition of unitary Hamiltonian and dissipative Liouvillian dynamics leads to a nonequilibrium phase transition. It shares features of a quantum phase transition in…

Quantum Gases · Physics 2010-08-06 Sebastian Diehl , Andrea Tomadin , Andrea Micheli , Rosario Fazio , Peter Zoller

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 proposed paradigm for out-of-equilibrium quantum systems is that an analogue of quantum phase transitions exists between parameter regimes of qualitatively distinct time-dependent behavior. Here, we present evidence of such a transition…

By merging the Feynman-Vernon's approach with the out-of-equilibrium Keldysh-Schwinger formalism, we construct the reduced generating functional through which all the time-dependent correlation functions of an open fermionic system can be…

Quantum Physics · Physics 2024-07-09 A. I. Karanikas , G. E. Pavlou

We study the mean Uhlmann curvature in fermionic systems undergoing a dissipative driven phase transition. We consider a paradigmatic class of lattice fermion systems in non-equilibrium steady-state of an open system with local reservoirs,…

Quantum Physics · Physics 2017-10-30 Angelo Carollo , Bernardo Spagnolo , Davide Valenti

We present generic conditions for phase band crossings for a class of periodically driven integrable systems represented by free fermionic models subjected to arbitrary periodic drive protocols characterized by a frequency $\omega_D$. These…

Strongly Correlated Electrons · Physics 2016-12-30 Bhaskar Mukherjee , Arnab Sen , Diptiman Sen , K. Sengupta

Deconfined quantum critical points are intriguing transition points not predicted by the Landau-Ginzburg-Wilson symmetry-breaking paradigm which are usually identified by the appearance of a continuous phase transition between locally…

Strongly Correlated Electrons · Physics 2026-05-08 Niccolò Baldelli , Arianna Montorsi , Sergi Julià-Farré , Maciej Lewenstein , Matteo Rizzi , Luca Barbiero

We study the critical properties of finite-dimensional dissipative quantum spin systems with uniform ferromagnetic interactions. Starting from the transverse-field Ising model coupled to a bath of harmonic oscillators with Ohmic spectral…

Quantum Physics · Physics 2016-10-06 Kabuki Takada , Hidetoshi Nishimori

Open quantum many-body systems with controllable dissipation can exhibit novel features in their dynamics and steady states. A paradigmatic example is the dissipative transverse field Ising model. It has been shown recently that the steady…

Quantum Physics · Physics 2023-12-04 Casey Haack , Naushad Ahmad Kamar , Daniel Paz , Mohammad Maghrebi , Zhexuan Gong

We investigate fermionic atoms subjected to an optical lattice and coupled to a high finesse optical cavity with photon losses. A transverse pump beam introduces a coupling between the atoms and the cavity field. We explore the steady state…

Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we construct the so-called nonequilibrium steady state for the quasifree fermionic system corresponding to…

Mathematical Physics · Physics 2020-12-21 Walter H. Aschbacher

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been…

Statistical Mechanics · Physics 2023-10-13 Yue Li , Martin Claassen

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

Nonlinear classical dissipative systems present a rich phenomenology in their "route to chaos", including period-doubling, i.e. the system evolves with a period which is twice that of the driving. However, typically the attractor of a…

Quantum Physics · Physics 2018-02-07 Reuben R. W. Wang , Bo Xing , Gabriel G. Carlo , Dario Poletti

We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice $\mathbb Z^d$. This system is assumed to be initially in thermal equilibrium, and we consider realizations of…

Mathematical Physics · Physics 2024-09-25 Vojkan Jakšić , Claude-Alain Pillet , Clément Tauber

Transitions between steady dynamical regimes in diverse applications are often modelled using discontinuities, but doing so introduces problems of uniqueness. No matter how quickly a transition occurs, its inner workings can affect the…

Dynamical Systems · Mathematics 2017-07-26 Mike R. Jeffrey

The paper is focused on the discussion of the phenomenon of transitional chaos in dynamic autonomous and non-autonomous systems. This phenomenon involves the disappearance of chaotic oscillations in specific time periods and the system…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski

We explore nonadiabatic quantum phase transitions in an Ising spin chain with a linearly time-dependent transverse field and two different spins per unit cell. Such a spin system passes through critical points with gapless excitations,…

Statistical Mechanics · Physics 2021-02-23 Bin Yan , Vladimir Y. Chernyak , Wojciech H. Zurek , Nikolai A. Sinitsyn

Stability is a key property of dynamical systems. In some cases, we want to change unstable system into stable one to achieve certain goals in engineering. Here, we present an example of a $3$ dimensional switched system that alternates…

Dynamical Systems · Mathematics 2021-10-20 Yuyi Zhang , Yao Guo