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This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric,…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 M. I. Dykman

The dynamics of the spin-boson Hamiltonian is considered in the stochastic approximation. The Hamiltonian describes a two-level system coupled to an environment and is widely used in physics, chemistry and the theory of quantum measurement.…

Quantum Physics · Physics 2016-09-08 L. Accardi , S. V. Kozyrev , I. V. Volovich

We study the exact dynamics of optical qubits encoded via coherent states with opposite phases which are interacting with an environment modeled as a collection of simple harmonic oscillators. Making use of a coherent-state path integral…

Quantum Physics · Physics 2014-02-06 Ming-Jay Yang , Shin-Tza Wu

We investigate the generalization of the spin-boson model to arbitrary spin size. The Born-Markov approximation is employed to derive a master equation in the regime of small coupling strengths to the environment. For spin one half, the…

Quantum Physics · Physics 2009-11-10 T. Vorrath , T. Brandes , B. Kramer

In this paper we discuss both analytically and numerically the rich quantum dynamics of the spin-boson model driven by a time-independent field of photon. Interestingly, we predict a new Rabi oscillation, whose period is inversely…

Quantum Physics · Physics 2011-07-20 Qifeng Liang , Lixian Yu , Gang Chen , Suotang Jia

We consider the dissipative dynamics of a qubit coupled to a nonlinear oscillator (NO) embedded in an Ohmic environment. By treating the nonlinearity up to first order and applying Van Vleck perturbation theory up to second order in the…

Quantum Physics · Physics 2009-12-03 Carmen Vierheilig , Johannes Hausinger , Milena Grifoni

We explore the dissipative dynamics of nonlinearly driven oscillator systems tuned to resonances where multiple excitations are generated. Such systems are readily realised in circuit QED systems combining Josephson junctions with a…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Ben Lang , Andrew D. Armour

We explore the dynamics and the steady state of a driven quantum spin coupled to a bath of fermions, which can be realized with a strongly imbalanced mixture of ultracold atoms using currently available experimental tools. Radio-frequency…

Quantum Gases · Physics 2014-01-06 Michael Knap , Dmitry A. Abanin , Eugene Demler

A superconducting qubit coupled to an open transmission line represents an implementation of the spin-boson model with a broadband environment. We show that this environment can be engineered by introducing partial reflectors into the…

We analyze the indirect exchange interaction between two two-state systems, e.g., spins 1/2, subject to a common finite-temperature environment modeled by bosonic modes. The environmental modes, e.g., phonons or cavity photons, are also a…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Dmitry Solenov , Denis Tolkunov , Vladimir Privman

It is known that ensembles of interacting oscillators or qubits can exhibit the phenomenon of quantum synchronization. In this work we consider a set of $N$ identical two-state systems that we call ``harmonic qubits'', because the kinetic…

General Physics · Physics 2025-09-18 L. Gamberale , G. Modanese

The dissipative quantum dynamics of an anharmonic oscillator is investigated theoretically in the context of carbon-based nano-mechanical systems. In the short-time limit, it is known that macroscopic superposition states appear for such…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Aurora Voje , Alexander Croy , Andreas Isacsson

We study experimentally and numerically the noisy evolution of multipartite entangled states, focusing on superconducting-qubit devices accessible via the cloud. We find that a valid modeling of the dynamics requires one to properly account…

Quantum Physics · Physics 2024-01-05 Liran Shirizly , Grégoire Misguich , Haggai Landa

We discuss anomalous decoherence effects at zero and finite temperatures in driven coupled quantum spin systems. By numerical simulations of the quantum master equation, it is found that the entanglement of two coupled spin qubits exhibits…

Quantum Physics · Physics 2015-06-18 Chuan-Jia Shan , Pan-Pan Wu , Wei-Wen Cheng , Ji-Bing Liu , Tang-Kun Liu

We analyze the static and dynamical properties of two Ising-coupled quantum spins embedded in a common bosonic bath as an archetype of dissipative quantum mechanics. First, we elucidate the ground state phase diagram for an ohmic and a…

Mesoscale and Nanoscale Physics · Physics 2010-12-02 Peter P. Orth , David Roosen , Walter Hofstetter , Karyn Le Hur

Quantum Brownian oscillator model (QBM), in the Fock-space representation, can be viewed as a multi-level spin-boson model. At sufficiently low temperature, the oscillator degrees of freedom are dynamically reduced to the lowest two levels…

Quantum Physics · Physics 2009-11-10 K. Shiokawa , B. L. Hu

We discuss the generation of states close to the boundary-family of maximally entangled mixed states as defined by the use of concurrence and linear entropy. The coupling of two qubits to a dissipation-affected bosonic mode is able to…

Quantum Physics · Physics 2009-11-13 S. Campbell , M. Paternostro

We investigate theoretically how the ground state of a qubit-resonator system in the deep-strong coupling (DSC) regime is affected by the coupling to an environment. We employ as a variational ansatz for the ground state of the…

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

Quantum Physics · Physics 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

We experimentally and theoretically investigate the non-equilibrium phase structure of a well-controlled driven-disspative quantum spin system governed by the interplay of coherent driving, spontaneous decay and long-range spin-spin…

Atomic Physics · Physics 2018-08-15 S. Helmrich , A. Arias , S. Whitlock
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