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Periodically modulated nonlinear oscillators often display bistability of forced vibrations. This bistability can be used for new types of quantum measurements. They are based on switching between coexisting vibrational states. Since…

Mesoscale and Nanoscale Physics · Physics 2008-10-29 M. I. Dykman

The ability to efficiently simulate a variety of interacting quantum systems on a single device is an overarching goal for digital and analog quantum simulators. In circuit quantum electrodynamical systems, strongly nonlinear…

Quantum Physics · Physics 2026-03-16 J. D. Koenig , G. Barbieri , F. Fani Sani , C. A. Potts , M. Kounalakis , G. A. Steele

Activation processes govern noise-induced switching between long-lived states. In an equilibrium double well, the thermally activated switching rate exhibits a prefactor with a nonmonotonic dependence on environmental coupling, a…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Daniel K. J. Boneß , Gabriel Margiani , Wolfgang Belzig , Alexander Eichler , Oded Zilberberg

In this work, we use path integral techniques to predict the switching rate in a single-mode bistable open quantum system. While analytical expressions are well-known to be accessible for systems subject to Gaussian noise obeying classical…

Viewed as approximations to quantum mechanics, classical evolutions can violate the positive-semidefiniteness of the density matrix. The nature of this violation suggests a classification of dynamical systems based on classical-quantum…

Quantum Physics · Physics 2009-11-06 Salman Habib , Kurt Jacobs , Hideo Mabuchi , Robert Ryne , Kosuke Shizume , Bala Sundaram

We consider a nonlinear oscillator with state-dependent time-delay that displays a countably infinite number of nested limit cycle attractors, \emph{i.e.} megastability. In the low-memory regime, the equation reduces to a self-excited…

Quantum Physics · Physics 2025-02-18 Álvaro G. López , Rahil N. Valani

Nonlinearity induced nonreciprocity is studied in a system comprising two resonators coupled to a one-dimensional waveguide when the linear system does not exhibit nonreciprocity. The analysis is based on the Hamiltonian of the coupled…

Optics · Physics 2024-09-11 Qingtian Miao , G. S. Agarwal

Quantum reservoir computing (QRC) has emerged as a promising paradigm for harnessing near-term quantum devices to tackle temporal machine learning tasks. Yet identifying the mechanisms that underlie enhanced performance remains challenging,…

Quantum Physics · Physics 2025-01-14 Krai Cheamsawat , Thiparat Chotibut

A superconducting qubit coupled to a microwave resonator provides a controllable system that enables fundamental studies of light-matter interactions. In the dispersive regime, photons in the resonator exhibit induced frequency and phase…

We seek the first indications that a nanoelectromechanical system (NEMS) is entering the quantum domain as its mass and temperature are decreased. We find them by studying the transition from classical to quantum behavior of a driven…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 Itamar Katz , Alex Retzker , Raphael Straub , Ron Lifshitz

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

We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we…

Statistical Mechanics · Physics 2021-09-01 Francesco Tarantelli , Ettore Vicari

Driven-dissipative quantum many-body systems have been the subject of many studies in recent years. They possess unique, novel classes of dissipation-stabilized quantum many-body phases including the limit cycle. For a long time it has been…

Quantum Physics · Physics 2021-06-09 H. Alaeian , M. Soriente , K. Najafi , S. F. Yelin

We investigate the quantum dynamics of a multilevel bistable system coupled to a bosonic heat bath beyond the perturbative regime. We consider different spectral densities of the bath, in the transition from sub-Ohmic to super-Ohmic…

Mesoscale and Nanoscale Physics · Physics 2017-01-16 Luca Magazzù , Angelo Carollo , Bernardo Spagnolo , Davide Valenti

We discuss dynamical response theory of driven-dissipative quantum systems described by Markovian Master Equations generating semi-groups of maps. In this setting thermal equilibrium states are replaced by non-equilibrium steady states and…

Quantum Physics · Physics 2016-03-09 Lorenzo Campos Venuti , Paolo Zanardi

We investigate the effect of slowly-varying parameter on the energy transfer in a system of weakly coupled nonlinear oscillators, with special attention to a mathematical analogy between the classical energy transfer and quantum…

Pattern Formation and Solitons · Physics 2015-06-05 Leonid Manevitch , Agnessa Kovaleva

We show a dissipative phase transition in a driven nonlinear quantum oscillator in which a discrete time-translation symmetry is spontaneously broken in two different ways. The corresponding regimes display either discrete or incommensurate…

Quantum Physics · Physics 2024-08-13 Albert Cabot , Gianluca Giorgi , Roberta Zambrini

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

In this paper we present a comprehensive analysis of the coherence phenomenon of two coupled dissipative oscillators. The action of a classical driving field on one of the oscillators is also analyzed. Master equations are derived for both…

Quantum Physics · Physics 2007-05-23 M. A. de Ponte , M. C. de Oliveira , M. H. Y. Moussa

Critical quantum systems are a promising resource for quantum metrology applications, due to the diverging susceptibility developed in proximity of phase transitions. Here, we assess the metrological power of parametric Kerr resonators…

Quantum Physics · Physics 2023-03-30 R. Di Candia , F. Minganti , K. V. Petrovnin , G. S. Paraoanu , S. Felicetti