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Despite their simplicity, quantum harmonic oscillators are ubiquitous in the modeling of physical systems. They are able to capture universal properties that serve as reference for the more complex systems found in nature. In this spirit,…

Quantum Physics · Physics 2025-03-04 Benedikt M. Reible , Ana Djurdjevac , Luigi Delle Site

In this paper it is studied the influence of a minimal thermal environment on the dynamics of a quantum harmonic oscillator (labelled A), prepared in a coherent state. The environment itself consists of a second oscillator (labelled B),…

Quantum Physics · Physics 2021-08-31 A. Vidiella-Barranco

We introduce a solid-state qubit in which exchange interactions among confined electrons provide both the static longitudinal field and the oscillatory transverse field, allowing rapid and full qubit control via rf gate-voltage pulses. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 J. Medford , J. Beil , J. M. Taylor , E. I. Rashba , H. Lu , A. C. Gossard , C. M. Marcus

System of the quantum Langevin equations for two quantum coupling oscillators within independent heat baths of quantum oscillators are obtained using a model Hamiltonian and corresponding Heisenberg equations of motion. Expressions for mean…

Quantum Physics · Physics 2017-08-02 Illarion Dorofeyev

We analyze the properties of a quantum system composed of two coherently coupled quantum oscillators and show through simulations that it fulfills the two properties required for reservoir computing: non-linearity and fading memory. We…

Quantum Physics · Physics 2022-05-02 Julien Dudas , Julie Grollier , Danijela Marković

We revisit the quantized version of the harmonic oscillator obtained through a q-dependent family of coherent states. For each q, 0< q < 1, these normalized states form an overcomplete set that resolves the unity with respect to an explicit…

Mathematical Physics · Physics 2015-06-05 J. P. Gazeau , M. A. del Olmo

The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits…

Chaotic Dynamics · Physics 2009-11-11 Bin Ao , Zhigang Zheng

In this work, we investigate the heat exchange between two quantum systems whose initial equilibrium states are described by the generalized Gibbs ensemble. First, we generalize the fluctuation relations for heat exchange discovered by…

Quantum Physics · Physics 2018-09-13 Bo-Bo Wei

We analyze the information that one can learn about the state of a quantum two-level system, i.e. a qubit, when probed weakly by a nearby detector. We consider the general case where the qubit Hamiltonian and the qubit's operator probed by…

Quantum Physics · Physics 2009-12-17 S. Ashhab , J. Q. You , Franco Nori

The coherent evolution of two atomic qubits mediated by a set of bosonic field modes is investigated. By assuming a specific encoding of the quantum states in the internal levels of the two atoms we show that entangling quantum gates can be…

Quantum Physics · Physics 2015-05-18 Sai-Yun Ye , Zhen-Biao Yang , Shi-Biao Zheng , Alessio Serafini

Here we present a system of coupled phase oscillators with nearest neighbors coupling, which we study for different boundary conditions. We concentrate at the transition to total synchronization. We are able to develop exact solutions for…

We consider two independent quantum walks on separate lines augmented by partial or full swapping of coins after each step. For classical random walks, swapping or not swapping coins makes little difference to the random walk…

Quantum Physics · Physics 2012-02-08 Peng Xue , Barry C. Sanders

Precisely engineered mechanical oscillators keep time, filter signals, and sense motion, making them an indispensable part of today's technological landscape. These unique capabilities motivate bringing mechanical devices into the quantum…

We study a quantum state transfer between two qubits interacting with the ends of a quantum wire consisting of linearly arranged spins coupled by an excitation conserving, time-independent Hamiltonian. We show that if we control the…

We construct and explore a family of states for quantum systems in contact with two or more heath reservoirs. The reservoirs are described by equilibrium distributions. The interaction of each reservoir with the bulk of the system is…

Statistical Mechanics · Physics 2022-05-03 Mihail Mintchev

In a previous paper [J.S.Briggs and A.Eisfeld, Phys.Rev.A 85, 052111] we showed that the time-development of the complex amplitudes of N coupled quantum states can be mapped by the time development of positions and velocities of N coupled…

Quantum Physics · Physics 2014-02-18 J. S. Briggs , A. Eisfeld

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

The problem of the reliable transfer of entanglement from one pure bipartite quantum state to another using local operations is analyzed. It is shown that in the case of qubits the amount that can be transferred is restricted to the…

Quantum Physics · Physics 2007-05-23 Berry Groisman

The cooling effects of a nonlinear quantum oscillator via its interaction with an artificial atom (qubit) are investigated. The quantum dissipations through the environmental reservoir of the nonlinear oscillator are included, taking into…

Quantum Physics · Physics 2015-05-18 Mihai A. Macovei , Xiao-Tao Xie

Chimera states, which consist of coexisting domains of coherent and incoherent parts, have been observed in a variety of systems. Most of previous works on chimera states have taken into account specific form of interaction between…

Adaptation and Self-Organizing Systems · Physics 2016-11-15 Hongyan Cheng , Qionglin Dai , Nianping Wu , Yuee Feng , Haihong Li , Junzhong Yang