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Classical thermodynamics admits a geometric formulation in which work is associated with areas enclosed by cycles in state space. Whether an analogous structure persists in driven, dissipative quantum systems remains an open question. Here…

Quantum Physics · Physics 2026-03-30 Eric R. Bittner

We discuss the symmetry-protected topological (SPT) orders for bosonic systems from an information-theoretic viewpoint. We show that with a proper choice of the onsite basis, the degenerate ground-state space of SPT orders (on a manifold…

Quantum Physics · Physics 2014-07-15 Bei Zeng , Duan-Lu Zhou

We investigate different emergent dynamics namely oscillation quenching and revival of oscillation in a global network of identical oscillators coupled with diffusive (positive) delay coupling as it is perturbed by symmetry breaking…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Prosenjit Kundu , Lekha Sharma , Mauparna Nandan , Dibakar Ghosh , Chittaranjan Hens , Pinaki Pal

We consider a closed quantum system subject to a stochastic resetting process. The generic expression for the resulting density operator is formulated for arbitrary resetting dynamics, fully characterised by the distribution of times…

Quantum Physics · Physics 2023-02-15 Francisco J. Sevilla , Andrea Valdés-Hernández

Topological quantum phase transitions are characterised by changes in global topological invariants. These invariants classify many body systems beyond the conventional paradigm of local order parameters describing spontaneous symmetry…

Strongly Correlated Electrons · Physics 2015-05-12 A. Amaricci , J. C. Budich , M. Capone , B. Trauzettel , G. Sangiovanni

In this paper we report that notions of topological protection can be applied to stationary configurations that are driven far from equilibrium by active, dissipative processes. We show this for physically two disparate cases : stochastic…

Statistical Mechanics · Physics 2022-06-08 Kinjal Dasbiswas , Kranthi K. Mandadapu , Suriyanarayanan Vaikuntanathan

Topology in many-body physics usually emerges as a feature of equilibrium quantum states. We show that topological fingerprints can also appear in the relaxation rates of open quantum systems. To demonstrate this we consider one of the…

Strongly Correlated Electrons · Physics 2024-10-28 Kevin Kavanagh , Joost K. Slingerland , Shane Dooley , Graham Kells

Topologically-ordered phases of matter at non-zero temperature are conjectured to exhibit universal patterns of long-range entanglement which may be detected by a mixed-state entanglement measure known as entanglement negativity. We show…

Strongly Correlated Electrons · Physics 2026-05-28 Tsung-Cheng Lu , Sagar Vijay

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous-variable entanglement for a system consisting of two independent harmonic oscillators…

Quantum Physics · Physics 2015-05-13 Aurelian Isar

The integration of topological concepts into electronic energy band theory has been a transformative development in condensed matter physics. Since then, this paradigm has broadened its reach, extending to a variety of physical systems,…

Superconductivity · Physics 2024-02-28 Bao Chen , Kaiyun Pang , Ru Zheng , Feng Liu

Monte Carlo simulations are used to show that the steady state of the d=2, two-temperature, diffusive XY model displays a continuous phase transition from a homogeneous disordered phase to a phase with long-range order. The long-range order…

Condensed Matter · Physics 2009-10-28 Kevin E. Bassler , Zoltan Racz

In closed quantum systems, strong randomness can localize many-body excitations, preventing ergodicity. An interesting consequence is that high energy excited states can exhibit quantum coherent properties, such as symmetry protected…

Disordered Systems and Neural Networks · Physics 2015-06-02 Andrew C. Potter , Ashvin Vishwanath

By considering a solvable driven-dissipative quantum model, we demonstrate that continuous second order phase transitions in dissipative systems may occur without an accompanying spontaneous symmetry breaking. As such, the underlying…

Quantum Physics · Physics 2018-10-24 Julia Hannukainen , Jonas Larson

Adaptive quantum circuits, in which unitary operations, measurements, and feedback are used to steer quantum many-body systems, provide an exciting opportunity to generate new dynamical steady states. We introduce an adaptive quantum…

Quantum Physics · Physics 2023-04-27 Jacob Hauser , Yaodong Li , Sagar Vijay , Matthew P. A. Fisher

We consider universal statistical properties of systems that are characterized by phase states with macroscopic degeneracy of the ground state. A possible topological order in such systems is described by non-linear discrete equations. We…

Strongly Correlated Electrons · Physics 2007-06-06 Luigi Martina , Alexander Protogenov , Valery Verbus

The steady states of dynamical processes can exhibit stable nontrivial phases, which can also serve as fault-tolerant classical or quantum memories. For Markovian quantum (classical) dynamics, these steady states are extremal eigenvectors…

Quantum Physics · Physics 2024-02-13 Tibor Rakovszky , Sarang Gopalakrishnan , Curt von Keyserlingk

The coupling between two or more objects can generally be categorized as strong or weak. In cavity quantum electrodynamics for example, when the coupling strength is larger than the loss rate the coupling is termed strong, and otherwise it…

Quantum Physics · Physics 2022-07-12 C. A. Downing , A. J. Toghill

In many interesting physical settings, such as the vulcanization of rubber, the introduction of permanent random constraints between the constituents of a homogeneous fluid can cause a phase transition to a random solid state. In this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Paul M. Goldbart

Determining the steady state of an open quantum system is crucial for characterizing quantum devices and studying various physical phenomena. Often, computing a single steady state is insufficient, and it is necessary to explore its…

Quantum Physics · Physics 2026-04-09 André Melo , Gaspard Beugnot , Fabrizio Minganti

The existence of topological order is frequently associated with strongly coupled quantum matter. Here, we demonstrate the existence of topological phases in classical systems of densely packed, hard, anisotropic polyhedrally shaped…

Soft Condensed Matter · Physics 2019-10-02 William Zygmunt , Erin G. Teich , Greg van Anders , Sharon C. Glotzer