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We study theoretically the dynamics of multiple mechanical oscillators coupled to a single cavity field mode via linear or quadratic optomechanical interactions. We focus specifically on the strong coupling regime where the cavity decays…

Quantum Physics · Physics 2014-01-14 H. Seok , L. F. Buchmann , E. M. Wright , P. Meystre

Dynamics of icrocantilevers are of important interest in micro-mechanical systems for enhancing the functionality and applicable range of the cantilevers in vibration transducing and highly sensitive measurement. In this study, using the…

Quantum Physics · Physics 2025-01-22 Le Tri Dat , Vinh N. T. Pham , Le Van Tan , Nguyen Duy Vy

We investigate the exact dynamics of a system of two independent harmonic oscillators coupled through their angular momentum. The exact analytic solution of the equations of motion for the field operators is derived, and the conditions for…

Quantum Physics · Physics 2015-07-13 N. Canosa , Swapan Mandal , R. Rossignoli

Quantum control of a system requires the manipulation of quantum states faster than any decoherence rate. For mesoscopic systems, this has so far only been reached by few cryogenic systems. An important milestone towards quantum control is…

Quantum Physics · Physics 2021-02-01 Andrés de los Ríos Sommer , Nadine Meyer , Romain Quidant

A pulsed scheme for generating robust optical entanglement via the coupling of two optical modes to a mechanical oscillator is proposed. This scheme is inspired by the S{\o}rensen-M{\o}lmer approach for entangling trapped ions in a thermal…

Quantum Physics · Physics 2015-06-16 Mark C. Kuzyk , Steven J. van Enk , Hailin Wang

We study properties of steady states (states with time-independent density operators) of systems of coupled harmonic oscillators. Formulas are derived showing how adiabatic change of the Hamiltonian transforms one steady state into another.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Max Tegmark , Leehwa Yeh

We present an exact analytical solution of the Hu-Paz-Zhang master equation in a precise Markovian limit for a system of two harmonically coupled harmonic oscillators interacting with a common thermal bath of harmonic oscillators. The…

Quantum Physics · Physics 2026-02-16 Gábor Homa , Dávid Hamar , József Zsolt Bernád , Peter Adam , András Csordás

We show experimentally that a broad class of interactions involving quantum harmonic oscillators can be made stronger (amplified) using a unitary squeezing protocol. While our demonstration uses the motional and spin states of a single…

We study the universal thermodynamic properties of systems consisting of many coupled oscillators operating in the vicinity of a homogeneous oscillating instability. In the thermodynamic limit, the Hopf bifurcation is a dynamic critical…

Statistical Mechanics · Physics 2011-09-22 Thomas Risler , Jacques Prost , Frank Julicher

Light-matter interaction in the ultrastrong coupling regime can be used to generate exotic ground states with two-mode squeezing and may be of use for quantum enhanced sensing. Current demonstrations of ultrastrong coupling have been…

Quantum Physics · Physics 2024-11-08 Kahan Dare , Jannek J. Hansen , Iurie Coroli , Aisling Johnson , Markus Aspelmeyer , Uroš Delić

This work aims to provide an alternative approach to modeling a two-state system (qubit) coupled to a nonlinear oscillator. Within a single algebraic scheme based upon the f-deformed oscillator description, hard and soft nonlinearities are…

Quantum Physics · Physics 2019-07-01 Octavio de los Santos Sánchez

We examine a two-level system coupled to a quantum oscillator, typically representing experiments in cavity and circuit quantum electrodynamics. We show how such a system can be treated analytically in the ultrastrong coupling limit, where…

Quantum Physics · Physics 2010-12-23 Johannes Hausinger , Milena Grifoni

We present an exact analytical solution of the anisotropic Hopfield model, and we use it to investigate in detail the spectral and thermometric response of two ultrastrongly coupled quantum systems. Interestingly, we show that depending on…

Quantum Physics · Physics 2021-01-20 M. Salado-Mejía , R. Román-Ancheyta , F. Soto-Eguibar , H. M. Moya-Cessa

In this work, we calculate the exact asymptotic quantum correlations between two interacting non-resonant harmonic oscillators in a common Ohmic bath. We derive \emph{analytical formulas} for the covariances, fully describing any Gaussian…

Quantum Physics · Physics 2013-01-11 Luis A. Correa , Antonio A. Valido , Daniel Alonso

We study the coherence dynamics of a qubit coupled to a harmonic oscillator with both linear and quadratic interactions. As long as the linear coupling strength is much smaller than the oscillator frequency, the long time behavior of the…

Quantum Physics · Physics 2018-01-17 Li Ge , Nan Zhao

We analyze the transition between different coupling regimes of two dielectric rods, which occurs at a critical distance between them. The hallmark of strong coupling regime is the peak splitting effect observed in spectra. Here we…

Optics · Physics 2019-07-03 Alexey A. Dmitriev , Mikhail V. Rybin

We study critical properties of the entanglement and charge-sharpening measurement-induced phase transitions in a non-unitary quantum circuit evolving with a U(1) conserved charge. Our numerical estimation of the critical properties of the…

Disordered Systems and Neural Networks · Physics 2024-11-15 Ahana Chakraborty , Kun Chen , Aidan Zabalo , Justin H. Wilson , J. H. Pixley

The ultrastrong and deep strong coupling regimes exhibit a variety of intriguing physical phenomena. In this work, we utilize the Hopfield model of a two-mode bosonic system, with each mode interacts with a heat reservoir, to research the…

Quantum Physics · Physics 2026-01-28 Yu-qiang Liu , Qiulin Long , Yi-jia Yang , Zheng Liu , Ting-ting , Ma , Bao-qing , Guo , Xingdong , Zhao , Zunlue , Zhu , Wuming , Liu , Chang-shui Yu

We investigate the emergence of a myriad of phases in the strong coupling regime of the dipolar Hubbard model in two dimensions. By using a combination of numerically unbiased methods in finite systems with analytical perturbative…

Strongly Correlated Electrons · Physics 2019-03-05 Tiago Mendes-Santos , Rubem Mondaini , Thereza Paiva , Raimundo R. dos Santos

We show the existence of an entangled nonequilibrium state at very high temperatures when two linearly coupled harmonic oscillators are parametrically driven and dissipate into two independent heat baths. This result has a twofold meaning:…

Quantum Physics · Physics 2010-11-02 Fernando Galve , Leonardo A. Pachon , David Zueco