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General aspects of the quantization of field theories non-local in time are discussed. The path integral on the basis of Schwinger's action principle and the Bjorken-Johnson-Low prescription, which helps to recover the canonical structure…

High Energy Physics - Theory · Physics 2007-05-23 Kazuo Fujikawa

We investigate the dynamics of the driven Jaynes-Cummings model, where a two-level atom interacts with a quantized field and both, atom and field, are driven by an external classical field. Via an invariant approach, we are able to…

We examine time ordering effects in strongly, suddenly perturbed two-state quantum systems (kicked qubits) by comparing results with time ordering to results without time ordering. Simple analytic expressions are given for state occupation…

Quantum Physics · Physics 2009-08-14 L. Kaplan , Kh. Kh. Shakov , A. Chalastaras , M. Maggio , A. L. Burin , J. H. McGuire

A novel expansion of the evolution operator associated with a -- in general, time-dependent -- perturbed quantum Hamiltonian is presented. It is shown that it has a wide range of possible realizations that can be fitted according to…

Quantum Physics · Physics 2009-11-11 Paolo Aniello

We investigate a generalized Jaynes-Cummings model with the external field driving the cavity mode. The numerical results for the dynamics of the atom and the cavity field mode are given. Approximated solutions to the Schrodinger equation…

Quantum Physics · Physics 2012-12-14 B. Tuguldur , Ts. Gantsog

The Jaynes-Cummings quantum optics model allows us to understand the dialogue between light and matter at its most fundamental level, which is crucial for advancements in quantum science and technology. Several generalizations of the model…

We propose and demonstrate a scalable scheme for the simultaneous determination of internal and motional states in trapped ions with single-site resolution. The scheme is applied to the study of polaritonic excitations in the Jaynes-…

Quantum Physics · Physics 2021-12-15 Silpa Muralidharan , Ryutaro Ohira , Shota Kume , Kenji Toyoda

In a previous paper (Krumm and Vogel 2018 Phys. Rev. A 97, 043806) we presented a method to solve the nonlinear Jaynes-Cummings dynamics, describing the quantized motion of a trapped ion exactly, including detuning. Here we investigate this…

Quantum Physics · Physics 2019-06-11 Fabian Krumm , Werner Vogel

Both the classical time-ordering and the Magnus expansion are well-known in the context of linear initial value problems. Motivated by the noncommutativity between time-ordering and time derivation, and related problems raised recently in…

Mathematical Physics · Physics 2013-03-12 Michel Bauer , Raphael Chetrite , Kurusch Ebrahimi-Fard , Frederic Patras

In this paper, we study the dissipative dynamics of the Jaynes-Cummings model with phase damping in the presence of a classical homogeneous gravitational field. The model consists of a moving two-level atom simultaneously exposed to the…

Quantum Physics · Physics 2009-11-13 M. Mohammadi , M. H. Naderi , M. Soltanolkotabi

We investigate the anomalous energy change of the measurement apparatus when a qubit is measured in bases that do not commute with energy. We model two possible measurement implementations: one is a quantum clock model with a completely…

Quantum Physics · Physics 2022-11-24 Spencer Rogers , Andrew N. Jordan

In this paper, we investigate the effects of a classical gravitational field on the dynamical behaviour of nonlinear atom-field interaction within the framework of the f-deformed Jaynes-Cummings model. For this purpose, we first introduce a…

Quantum Physics · Physics 2010-08-04 Sh. Barzanjeh1 , M. H. Naderi , M. Soltanolkotabi

Quantum computers are operated by external driving fields, such as lasers, microwaves or transmission lines, that execute logical operations on multi-qubit registers, leaving the system in a pure state. However, the drive and the logical…

Quantum Physics · Physics 2024-06-21 Sagar Silva Pratapsi , Lorenzo Buffoni , Stefano Gherardini

How environments affect dynamics of quantum systems remains a central question in understanding transitions between quantum and classical phenomena and optimizing quantum technologies. A paradigm model to address the above question is the…

Quantum Gases · Physics 2025-07-03 Wen Liang , Zhenhua Yu

The Newton-Wigner states and operator are widely accepted to provide an adequate notion of spatial localization of a particle in quantum field theory on a spacelike hypersurface. Replacing the spacelike with a timelike hypersurface, we…

High Energy Physics - Theory · Physics 2025-07-04 Daniele Colosi , Robert Oeckl

The Dirac oscillator is a relativistic quantum system, characterized by its linearity in both position and momentum. Moreover, considering $(1{+}1)$ and $(2{+}1)$ dimensions, the system can be mapped onto the Jaynes-Cummings and…

Quantum Physics · Physics 2025-12-23 Thiago T. Tsutsui , Alison A. Silva , Antonio S. M. de Castro , Fabiano M. Andrade

The dynamics of an atom on the Jaynes-Cummings model has been studied by an atomic inversion, von Neumann entropy and so on. In this letter, we will treat the Jaynes-Cummings model as a problem in non-equilibrium statistical mechanics and…

Quantum Physics · Physics 2011-04-15 Shigeru Furuichi , Masanori Ohya , Hiroki Suyari

We study the dynamics of a single control atom and an atomic sample interacting with a nonresonant cavity mode. The control atom is driven by an auxiliary classical field. Under certain conditions, the coherent energy exchange between the…

Quantum Physics · Physics 2012-05-20 Shi-Biao Zheng

The evolution of a quantum system under time-dependent driving exhibits phenomena that are absent in its stationary counterpart. However, the high dimensionality and non-commutative nature of quantum dynamics make this a challenging…

Quantum Physics · Physics 2025-12-24 R. F. dos Santos , S. J. J. M. F. Kokkelmans

We introduce a covariant canonical quantization for a particle in curved spacetime that tracks operator-ordering ambiguities. Parameterizing spatial and temporal ordering, we derive a Hermitian Hamiltonian with leading quantum-relativistic…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Karol Sajnok , Kacper Dębski