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Classical dynamics is formulated as a Hamiltonian flow on phase space, while quantum mechanics is formulated as a unitary dynamics in Hilbert space. These different formulations have made it difficult to directly compare quantum and…

Quantum Physics · Physics 2007-05-23 A. J. Scott , G. J. Milburn

Quantum fluctuations of electromagnetic radiation pressure are discussed. We use an approach based on the quantum stress tensor to calculate the fluctuations in velocity and position of a mirror subjected to electromagnetic radiation. Our…

Quantum Physics · Physics 2009-11-06 Chun-Hsien Wu , L. H. Ford

Wave packet revivals and fractional revivals are hallmark quantum interference phenomena that arise in systems with nonlinear energy spectra, and their signatures in expectation values of observables have been studied extensively in earlier…

Quantum Physics · Physics 2026-01-16 Ashish Kumar Patra , Saikumar Krithivasan

This book is an attempt to build a consistent relativistic quantum theory of interacting particles. In the first part of the book "Quantum electrodynamics" we follow rather traditional approach to particle physics. Our discussion proceeds…

General Physics · Physics 2016-03-15 Eugene V. Stefanovich

We explore analytically the quantum dynamics of a point mass pendulum using the Heisenberg equation of motion. Choosing as variables the mean position of the pendulum, a suitably defined generalised variance and a generalised skewness, we…

Chaotic Dynamics · Physics 2019-10-16 Rohit Chawla , Soumyabrata Paul , Jayanta K. Bhattacharjee

The rich entanglement dynamics and transitions exhibited by monitored quantum systems typically only exist in the conditional state, making observation extremely difficult. In this work we construct a general recipe for mimicking the…

Quantum Physics · Physics 2024-11-22 Yu-Xin Wang , Alireza Seif , Aashish A. Clerk

We consider the problem of quantum behavior in the finite background. Introduction of continuum or other infinities into physics leads only to technical complications without any need for them in description of empirical observations. The…

Quantum Physics · Physics 2012-02-15 Vladimir V. Kornyak

We study the system of massive and mixed neutrinos interacting with background matter moving with an acceleration. We start with the derivation of the Dirac equation for a single neutrino in the noninertial frame where matter is at rest. A…

High Energy Physics - Phenomenology · Physics 2016-08-10 Maxim Dvornikov

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

Statistical Mechanics · Physics 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes

We discuss a systematic way in which a relational dynamics can be established relative to periodic clocks both in the classical and quantum theories, emphasising the parallels between them. We show that: (1) classical and quantum relational…

Quantum Physics · Physics 2026-03-13 Leonardo Chataignier , Philipp A. Hoehn , Maximilian P. E. Lock , Fabio M. Mele

Given a discrete reversible dynamics, we can define a quantum dynamics, which acts on basis states like the classical one, but also allows for superpositions of them. It is a curious fact that in the quantum version, local changes in the…

Quantum Physics · Physics 2017-02-01 Pablo Arrighi , Vincent Nesme , Reinhard Werner

A random interaction matrix model is used to study the statistics of conductance peak heights in Coulomb blockade quantum dots. When the single-particle dynamics conserves time-reversal symmetry, the peak height statistics is insensitive to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , A. Wobst

In the context of unitary evolution of a generic quantum system interrupted at random times with non-unitary evolution due to interactions with either the external environment or a measuring apparatus, we adduce a general theoretical…

Quantum Physics · Physics 2022-05-10 Debraj Das , Sushanta Dattagupta , Shamik Gupta

We study evolution of a quantum particle in a harmonic potential whose position and momentum are repeatedly monitored. A back-action of measuring devices is accounted for. Our model utilizes a generalized measurement corresponding to the…

Quantum Physics · Physics 2023-06-16 Filip Gampel , Mariusz Gajda

Quantum memory effects can be induced even when the degrees of freedom associated to the environment are not affected at all during the system evolution. In this paper, based on a bipartite representation of the system-environment dynamics,…

Quantum Physics · Physics 2022-01-03 Adrián A. Budini

We investigate the ratchet current that appears in a kicked Hamiltonian system when the period of the kicks corresponds to the regime of quantum resonance. In the classical analogue, a spatial-temporal symmetry should be broken to obtain a…

Quantum Physics · Physics 2015-06-26 Dario Poletti , Gabriel G. Carlo , Baowen Li

We develop a microscopic theory for biasing the quantum trajectories of an open quantum system, which renders rare trajectories typical. To this end we consider a discrete-time quantum dynamics, where the open system collides sequentially…

The rotating frame is considered in quantum mechanics on the basis of the position dependent boost relating this frame to the non rotating inertial frame. We derive the Sagnac phase shift and the spin coupling with the rotation in the non…

Quantum Physics · Physics 2007-05-23 Jeeva Anandan , Jun Suzuki

We examine the emergence of dynamical memory effects in quantum processes having indefinite time direction and causal order. In particular, we focus on the class of phase-covariant qubit channels, which encompasses some of the most…

Quantum Physics · Physics 2024-07-23 Göktuğ Karpat , Barış Çakmak

We simulate the dynamics of a quantum dot coupled to the single resonating mode of a metal nano-particle. Systems like this are known as metamolecules. In this study, we consider a time-dependent driving field acting onto the metamolecule.…

Quantum Physics · Physics 2016-10-21 Daniel A. Uken , Alessandro Sergi