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We present exact results for the steady-state density matrix of a general class of driven-dissipative systems consisting of a nonlinear Kerr resonator in the presence of both coherent (one-photon) and parametric (two-photon) driving and…

Quantum Physics · Physics 2016-09-28 Nicola Bartolo , Fabrizio Minganti , Wim Casteels , Cristiano Ciuti

We investigate the driven quantum phase transition between the oscillating motion and the classical nearly free rotations of the Josephson pendulum coupled to a harmonic oscillator in the presence of dissipation. We refer to this as the…

Mesoscale and Nanoscale Physics · Physics 2019-06-25 I. Pietikäinen , J. Tuorila , D. S. Golubev , G. S. Paraoanu

Continuous-variable systems realized in high-coherence microwave cavities are a promising platform for quantum information processing. While strong dynamic nonlinear interactions are desired to implement fast and high-fidelity quantum…

Quantum Physics · Physics 2022-06-13 Timo Hillmann , Fernando Quijandría

We study noise induced switching in systems far from equilibrium by using an underdamped micromechanical torsional oscillator driven into the nonlinear regime. Within a certain range of driving frequencies, the oscillator possesses two…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 C. Stambaugh , H. B. Chan

The parametrically pumped Kerr model describes a driven-dissipative nonlinear cavity, whose nonequilibrium phase diagram features both continuous and discontinuous quantum phase transitions. We consider the consequences of these critical…

Quantum Physics · Physics 2022-10-26 Michael J. Kewming , Mark T. Mitchison , Gabriel T. Landi

Motivated by recent experiments on superconducting circuits consisting of a dc-voltage biased Josephson junction in series with a resonator, quantum properties of these devices far from equilibrium are studied. This includes a crossover…

Mesoscale and Nanoscale Physics · Physics 2013-12-23 Vera Gramich , Björn Kubala , Selina Rohrer , Joachim Ankerhold

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

Open quantum systems can undergo dissipative phase transitions, and their critical behavior can be exploited in sensing applications. For example, it can be used to enhance the fidelity of superconducting qubit readout measurements, a…

Quantum Physics · Physics 2021-12-13 Enrico Rinaldi , Roberto Di Candia , Simone Felicetti , Fabrizio Minganti

We revisit the problem of quantum bi- and multi-stability by considering the dissipative Double Resonance Model. For a large driving frequency, this system has a simpler phase structure than the driven dissipative nonlinear oscillator --…

Quantum Physics · Physics 2022-07-27 Andrey R. Kolovsky

The large deviation theory has recently been applied to open quantum systems to uncover dynamical crossovers in the space of quantum trajectories associated to Markovian evolutions. Such dynamical crossovers are characterized by qualitative…

The dynamics of nonlocally coupled dissipative kicked rotors is rich and complex. In this study, we consider a network of rotors where each interacts equally with a certain range of its neighbors. We focus on the influence of the coupling…

Chaotic Dynamics · Physics 2025-11-26 Jin Yan

Manifesting across all time, mass and length scales, nonlinearities lie at the core of numerous physical phenomena. Next-generation quantum applications, such as quantum sensing, require the combination of nonlinearity with non-classical…

Quantum Physics · Physics 2026-03-12 Shivangi Dhiman , K. Rubenbauer , T. Luschmann , A. Marx , A. Metelmann , H. Huebl

We study the transition probability and coherence of a two-site system, interacting with an oscillator. Both properties depend on the initial preparation. The oscillator is prepared in a thermal state and, even though it cannot be…

Other Condensed Matter · Physics 2009-11-13 Simone Paganelli , Sergio Ciuchi

We discuss the quantum--classical correspondence in a specific dissipative chaotic system, Duffing oscillator. We quantize it on the basis of quantum state diffusion (QSD) which is a certain formulation for open quantum systems and an…

Quantum Physics · Physics 2009-06-06 Yukihiro Ota , Ichiro Ohba

We theoretically study the phase dynamics in Josephson junctions, which maps onto the oscillatory motion of a point-like particle in the washboard potential. Under appropriate driving and damping conditions, the Josephson phase undergoes…

Statistical Mechanics · Physics 2019-07-03 Dmitrii Pashin , Arkady M. Satanin , Chang Sub Kim

Motivated by experiments on chains of superconducting qubits, we consider the dynamics of a classical Klein-Gordon chain coupled to coherent driving and subject to dissipation solely at its boundaries. As the strength of the boundary…

Statistical Mechanics · Physics 2023-03-20 Abhinav Prem , Vir B. Bulchandani , S. L. Sondhi

Classical metastability manifests as noise-driven switching between disjoint basins of attraction and slowing down of relaxation, quantum systems like qubits and Rydberg atoms exhibit analogous behavior through collective quantum jumps and…

Quantum Physics · Physics 2026-04-28 Ya-Xin Xiang , Weibin Li , Zhengyang Bai , Yu-Qiang Ma

We consider a theoretical model for a nonlinear nanomechanical resonator coupled to a superconducting microwave resonator. The nanomechanical resonator is driven parametrically at twice its resonance frequency, while the superconducting…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Charles P. Meaney , Ross H. McKenzie , G. J. Milburn

The transient dynamics of quantum coherence of Gaussian states are investigated. The state is coupled to an external environment which can be described by a Fano-Anderson type Hamiltonian. Solving the quantum Langevin equation, we obtain…

Quantum Physics · Physics 2022-01-20 Md. Manirul Ali , Chandrashekar Radhakrishnan

In structural dynamics, energy dissipative mechanisms with non-viscous damping are characterized by their dependence on the time-history of the response velocity, mathematically represented by convolution integrals involving hereditary…

Dynamical Systems · Mathematics 2018-05-22 Mario Lázaro