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We are concerned with the quantitative mathematical understanding of surface plasmon resonance (SPR) when $d \geq 3$. SPR is the resonant oscillation of conducting electrons at the interface between negative and positive permittivity…

Analysis of PDEs · Mathematics 2022-09-28 Habib Ammari , Yat Tin Chow , Hongyu Liu , Mahesh Sunkula

The properties of open quantum system in quantum information science is now extensively investigated more generally by the research community as a fundamental issue for a variety of applications. Usually, the states of the open quantum…

Quantum Physics · Physics 2021-08-04 Yong-Pan Gao , Chuan Wang

The key feature of a quantum spin coupled to a harmonic bath---a model dissipative quantum system---is competition between oscillator potential energy and spin tunneling rate. We show that these opposing tendencies cause environmental…

Quantum Physics · Physics 2014-03-21 Soumya Bera , Serge Florens , Harold U. Baranger , Nicolas Roch , Ahsan Nazir , Alex W. Chin

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

Quantum Physics · Physics 2019-09-04 Loic Henriet

We investigate the decoherence of a spin 1/2 subsystem weakly coupled to an environment of many spins 1/2 with and without mutual coupling. The total system is closed, its state is pure and evolves under Schroedinger dynamics. Nevertheless,…

Quantum Physics · Physics 2009-11-11 Harry Schmidt , Guenter Mahler

Quantum states in complex aggregates are unavoidably affected by environmental effects, which typically cannot be accurately modeled by simple Markovian processes. As system sizes scale up, nonperturbative simulation become thus unavoidable…

Statistical Mechanics · Physics 2024-06-26 Meng Xu , J. T. Stockburger , J. Ankerhold

The coupling of a qubit to a macroscopic reservoir plays a fundamental role in understanding the complex transition from the quantum to the classical world. Considering a harmonic environment, we use both intuitive arguments and numerical…

Mesoscale and Nanoscale Physics · Physics 2013-02-01 Soumya Bera , Serge Florens , Harold Baranger , Nicolas Roch , Ahsan Nazir , Alex Chin

We study systematically the non-Markovian decoherence dynamics of a dissipative two-level system, i.e., the so-called spin-boson model. It is interesting to find that the decoherence tends to be inhibited with the increase of the coupling…

Quantum Physics · Physics 2013-06-04 Hai-Bin Liu , Jun-Hong An , Chong Chen , Qing-Jun Tong , Hong-Gang Luo , C. H. Oh

A new minimal coupling method is introduced. A general dissipative quantum system is investigated consistently and systematically. Some coupling functions describing the interaction between the system and the environment are introduced.…

Quantum Physics · Physics 2007-05-23 F. Kheirandish , M. Amooshahi

We present the results of studying the influence of different environmental states on the coherence of quantum processes. We choose to discuss a simple model which describe two electronic reservoirs connected through tunneling via a…

Condensed Matter · Physics 2009-10-28 Ping Ao , Staffan Grundberg , Jørgen Rammer

We study the effects of the coupling to an Ohmic quantum reservoir on the static and dynamical properties of a family of disordered SU(2) spin models in a transverse magnetic field using a method of direct spin summation. The tendency to…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. F. Cugliandolo , D. R. Grempel , G. Lozano , H. Lozza

Quantum coherence conservation is shown to be achieved by a very high rate of dissipation of an environmental system coupled with a principal system. This effect is not in the list of previously-known strategies of noise suppression, such…

Quantum Physics · Physics 2007-10-24 Akira SaiToh , Robabeh Rahimi , Mikio Nakahara

We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin $S$ in the presence of nearest-neighbor $J_{1}$ and second-nearest-neighbor $J_{2}$ exchange interactions. By employing the pseudofermion functional…

We solve for the dynamics of a pair of spins, coupled to each other and also to an environmental sea of oscillators. The environment mediates an indirect interaction between the spins, causing both mutual coherence effects and dissipation.…

Condensed Matter · Physics 2015-06-25 M. Dube , P. C. E. Stamp

We investigate the effect of initial system-environment correlations to improve the estimation of environment parameters. By employing various physical situations of interest, we present results for the environment temperature and…

Quantum Physics · Physics 2024-07-08 Ali Raza Mirza , Jim Al-Khalili

We consider a particularly simple exactly solvable model for a qubit coupled to sequentially nested environments. The purpose is to exemplify the coherence conserving effect of a central system, that has been reported as a result of…

Quantum Physics · Physics 2018-04-19 Juan Mauricio Torres , Thomas H. Seligman

The coupling of a quantum system to an environment leads generally to decoherence, and it is detrimental to quantum correlations within the system itself. Yet some forms of quantum correlations can be robust to the presence of an…

Quantum Physics · Physics 2026-04-29 Dolf Huybrechts , Tommaso Roscilde

A quantum system weakly interacting with a fast environment usually undergoes a relaxation with complex frequencies whose imaginary parts are damping rates quadratic in the coupling to the environment, in accord with Fermi's ``Golden…

Quantum Physics · Physics 2009-11-11 Massimiliano Esposito , Fritz Haake

We consider the quantum dynamics of a pair of coupled quantum oscillators coupled to a common correlated dissipative environment. The resulting equations of motion for both the operator moments and covariances can be integrated analytically…

Quantum Physics · Physics 2025-01-09 Eric R Bittner , Bhavay Tyagi

Coherent superposition states of a mesoscopic quantum object play a major role in our understanding of the quantum to classical boundary, as well as in quantum-enhanced metrology and computing. However, their practical realization and…

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