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This article provides a detailed derivation of the path integral formalism for both boson and fermion quantum open systems using coherent states. The formalism on the imaginary-time axis, Keldysh contour, and Kadanoff contour are given. The…

量子物理 · 物理学 2025-06-11 Ruofan Chen

A semiclassical method of complex trajectories for the calculation of the tunneling exponent in systems with many degrees of freedom is further developed. It is supplemented with an easily implementable technique, which enables one to…

量子物理 · 物理学 2008-11-26 F. Bezrukov , D. Levkov

Recently a path integral formalism has been proposed by the author which gives the time evolution of moments of slow variables in a Hamiltonian statistical system. This closure relies on evaluating the informational discrepancy of a time…

数学物理 · 物理学 2015-10-23 Richard Kleeman

Quantum transition amplitudes are formulated for a model system with local internal time, using path integrals. The amplitudes are shown to be more regular near a turning point of internal time than could be expected based on existing…

广义相对论与量子宇宙学 · 物理学 2017-12-19 M. M. Amaral , Martin Bojowald

We review the closed time path formalism of Schwinger using a path integral approach. We apply this formalism to the study of pair production from strong external fields as well as the time evolution of a nonequilibrium chiral phase…

高能物理 - 理论 · 物理学 2007-05-23 Fred Cooper

We combine, in a single set-up,the complex time parametrization in path integration, and the closed time formalism of non-equilibrium field theories to produce a compact representation of the time evolution of the reduced density matrix. In…

量子物理 · 物理学 2011-04-20 C. N. Gagatsos , A. I. Karanikas , G. I. Kordas

A standard approach to analyzing tunneling processes in various physical contexts is to use instanton or imaginary time path techniques. For systems in which the tunneling takes place in a time dependent setting, the standard methods are…

高能物理 - 理论 · 物理学 2009-10-30 Esko Keski-Vakkuri , Per Kraus

Although the Hamiltonian formalism is so far favored for quantum computation of lattice gauge theory, the path integral formalism would never be useless. The advantages of the path integral formalism are the knowledge and experience…

量子物理 · 物理学 2022-05-12 Arata Yamamoto

The closed time-path formalism is a powerful Green's function formulation to describe non-equilibrium phenomena in field theory and it leads to a complete non-equilibrium quantum kinetic theory. We make use of this formalism to write down…

高能物理 - 唯象学 · 物理学 2008-11-26 Andrea De Simone , Antonio Riotto

Quantum tunneling is mostly discussed in the Euclidean path integral formalism using instantons. On the other hand, it is difficult to understand quantum tunneling based on the real-time path integral due to its oscillatory nature, which…

高能物理 - 格点 · 物理学 2023-08-02 Jun Nishimura

We adapt the semiclassical technique, as used in the context of instanton transitions in quantum field theory, to the description of tunneling transmissions at finite energies through potential barriers by complex quantum mechanical…

量子物理 · 物理学 2007-05-23 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

We study the quantum tunnel effect through a potential barrier employing a semiclassical formulation of quantum mechanics based on expectation values of configuration variables and quantum dispersions as dynamical variables. The evolution…

量子物理 · 物理学 2020-12-30 L. Aragon-Muñoz , G. Chacon-Acosta , H. Hernandez-Hernandez

Process of quantum tunneling of particles in various physical systems can be effectively controlled even by a weak and slow varying in time electromagnetic signal if to adapt specially its shape to a particular system. During an…

量子物理 · 物理学 2009-02-05 B. I. Ivlev

We analyze the tunneling time problem via the presence time formalism. With this method we reproduce previous results for very long wavepackets and we are able to calculate the tunneling time for general wavepackets of arbitrary shape and…

量子物理 · 物理学 2015-06-02 O. del Barco , M. Ortuño , V. Gasparian

In the context of two illustrative examples from supersymmetric quantum mechanics we show that the semi-classical analysis of the path integral requires complexification of the configuration space and action, and the inclusion of complex…

高能物理 - 理论 · 物理学 2016-01-13 Alireza Behtash , Gerald V. Dunne , Thomas Schaefer , Tin Sulejmanpasic , Mithat Unsal

Quantum tunneling is considered from the point of view of local realism. It is concluded that a quantum object tunneling through a potential barrier cannot be interpreted as a point-like particle because such an interpretation generates a…

量子物理 · 物理学 2021-03-23 A. Yu. Samarin

We analyze vacuum tunneling in quantum field theory in a general formalism by using the Wigner representation. In the standard instanton formalism, one usually approximates the initial false vacuum state by an eigenstate of the field…

高能物理 - 理论 · 物理学 2019-08-15 Mark P. Hertzberg , Masaki Yamada

Coupled quantum dots are an example of the ubiquitous quantum double potential well. In a typical transport experiment, each quantum dot is also coupled to a continuum of states. Our approach takes this into account by using a Green's…

介观与纳米尺度物理 · 物理学 2015-06-24 D. M. Cardamone , C. A. Stafford , B. R. Barrett

Tunneling is a fascinating aspect of quantum mechanics that renders the local minima of a potential meta-stable, with important consequences for particle physics, for the early hot stage of the universe, and more speculatively, for the…

高能物理 - 理论 · 物理学 2017-10-04 Mariana Carrillo Gonzalez , Ali Masoumi , Adam R. Solomon , Mark Trodden

This paper presents an analytical treatment of the path integral formalism for time-dependent quantum systems within the framework of Wigner-Dunkl mechanics, emphasizing systems with varying masses and time-dependent potentials. By…

量子物理 · 物理学 2026-01-01 A. Benchikha , B. Hamil , B. C. Lütfüoğlu