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A quantum system with discrete and continuos evolution spectrum is studied. A final pointer basis is found, that can be defined in a presised mathematical way. This result is use to explain the quantum measurement in the system.

量子物理 · 物理学 2007-05-23 M. Castagnino , R. Laura , R. Id Betan

The so-called classical limit of quantum mechanics is generally studied in terms of the decoherence of the state operator that characterizes a system. This is not the only possible approach to decoherence. In previous works we have…

量子物理 · 物理学 2015-05-18 Sebastian Fortin , Leonardo Vanni

In the framework of the Lindblad theory for open quantum systems we determine the degree of quantum decoherence and classical correlations of a harmonic oscillator interacting with a thermal bath. The transition from quantum to classical…

量子物理 · 物理学 2009-11-13 A. Isar , W. Scheid

We study the problem of robust performance of quantum systems under structured uncertainties. A specific feature of closed (Hamiltonian) quantum systems is that their poles lie on the imaginary axis and that neither a coherent controller…

量子物理 · 物理学 2021-10-12 S G Schirmer , F C Langbein , C A Weidner , E A Jonckheere

In this Thesis we study the quantum to classical transition process in the context of quantum mechanics and quantum field theory. We shall analyze the effects that general environments, namely ohmic and non-ohmic, at zero and high…

量子物理 · 物理学 2009-09-29 Paula I. Villar

Multiple quantum coherences are typically characterised by their coherence number and the number of spins that make up the state, though only the coherence number is normally measured. We present a simple set of measurements that extend our…

The notion that decoherence rapidly reduces a superposition state to an incoherent mixture implicitly adopts a special representation, namely, the representation of preferred (pointer) states (PS). For weak or strong system-environment…

量子物理 · 物理学 2015-06-03 Wen-ge Wang , Lewei He , Jiangbin Gong

We present a systematic study of statistical mechanics for non-Hermitian quantum systems. Our work reveals that the stability of a non-Hermitian system necessitates the existence of a single path-dependent conserved quantity, which, in…

统计力学 · 物理学 2023-12-04 Kui Cao , Su-Peng Kou

This paper develops an agent-centric account of measurement that treats the preferred-basis problem is fundamentally perspectival. On this view, the system--apparatus--environment decomposition and the observables that are apt to become…

量子物理 · 物理学 2025-10-21 Peter W. Evans

The quantum nature of a microscopic system can only be revealed when it is sufficiently decoupled from surroundings. Interactions with the environment induce relaxation and decoherence that turn the quantum state into a classical mixture.…

介观与纳米尺度物理 · 物理学 2017-09-12 Alexey M. Shakirov , Alexey N. Rubtsov , Alexander I. Lichtenstein , Pedro Ribeiro

We present a new short-time approximation scheme for evaluation of decoherence. At low temperatures, the approximation is argued to apply at intermediate times as well. It then provides a tractable approach complementary to Markovian-type…

量子物理 · 物理学 2010-10-12 Vladimir Privman

We develop a density matrix formalism to describe coupled electron-nuclear dynamics. To this end we introduce an effective Hamiltonian formalism that describes electronic transitions and small (quantum) nuclear fluctuations along a…

化学物理 · 物理学 2020-09-07 Eugene Stolyarov , Alexander White , Dmitry Mozyrsky

We study a non-interacting quantum particle, moving on a one-dimensional lattice, which is subjected to repetitive measurements. We investigate the consequence when such motion is interrupted and restarted from the same initial…

量子物理 · 物理学 2023-03-21 Ranjan Modak , S. Aravinda

We show that in a quantum measurement, the preferred basis is determined by the interaction between the apparatus and the quantum system, instead of by the environment. This interaction entangles three degrees of freedom, one system degree…

量子物理 · 物理学 2014-12-10 Tian Wang , David Hobill

The effect of decoherence is analysed for a free particle, interacting with an environment via a dissipative coupling. The interaction between the particle and the environment occurs by a coupling of the position operator of the particle…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Anu Venugopalan

We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians.~Within such a framework, we study novel possible definitions of the quantum linear entropy as an…

量子物理 · 物理学 2016-12-20 Alessandro Sergi , Paolo V. Giaquinta

The conditions under which an open quantum mechanical system may be described by mixed quantum-classical dynamics are investigated. Decoherence is studied using influence functional methods in a model composite quantum system comprising two…

介观与纳米尺度物理 · 物理学 2009-11-07 Kazutomu Shiokawa , Raymond Kapral

In quantum computation, it is of paramount importance to locate the parameter space where maximal coherence can be preserved in the qubit system. In recent years environment-induced decoherence based the quantum Brownian motion (QBM) models…

量子物理 · 物理学 2015-06-26 B. L. Hu

We study the effects of non-hermitian perturbation on a quantum kicked model exhibiting a localization transition. Using an exact renormalization scheme, we show that the critical line separating the extended and localized phases approaches…

无序系统与神经网络 · 物理学 2009-11-07 Indubala I satija , Arjendu Pattanayak

We consider decoherence of quantum registers, which consist of the qubits sited approximately periodically in space. The sites of the qubits are permitted to have a small random variance. We derive the explicit conditions under which the…

量子物理 · 物理学 2007-05-23 Lu-Ming Duan , Guang-Can Guo