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In this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized relativistic field, in the Hamiltonian formalism of quantum field theory. We construct the…

数学物理 · 物理学 2026-03-10 Marco Falconi , Benjamin Hinrichs , Javier Valentín Martín

Negativity has been adopted to investigate the entanglement in a system composed of a two-level atom and a two-mode cavity field. Effects of Kerr-like medium and the number of photon inside the cavity on the entanglement are studied. Our…

量子物理 · 物理学 2015-05-13 Liu Jia , Chen Zi-Yu , Bu Shen-Ping , Zhang Guo-Feng

We develop a theory for the interaction of multi-level atoms with multi-mode cavities yielding cavity-enhanced multi-photon resonances. The locations of the resonances are predicted from the use of effective two- and three-level…

量子物理 · 物理学 2015-06-22 Mark S. Everitt , Barry M. Garraway

One of the simplest example of non-commutative (NC) spaces is the NC plane. In this article we investigate the consequences of the non-commutativity to the quantum mechanics on a plane. We derive corrections to the standard (commutative)…

高能物理 - 理论 · 物理学 2007-05-23 Michal Demetrian , Denis Kochan

Equilibrium quantum phase transitions profoundly reshape the ground state of light-matter systems; yet, the resulting quantum correlations, such as squeezing and entanglement, remain experimentally inaccessible since they involve virtual…

量子物理 · 物理学 2026-05-14 Gabriele Orlando , Daniele Lamberto , Franco Nori , Salvatore Savasta

A nonlinear model of the quantum harmonic oscillator on two-dimensional spaces of constant curvature is exactly solved. This model depends of a parameter $\la$ that is related with the curvature of the space. Firstly the relation with other…

数学物理 · 物理学 2010-11-11 José F. Cariñena , Manuel F. Rañada , Mariano Santander

In the context of a two-parameter $(\alpha, \beta)$ deformation of the canonical commutation relation leading to nonzero minimal uncertainties in both position and momentum, the harmonic oscillator spectrum and eigenvectors are determined…

数学物理 · 物理学 2008-11-26 C. Quesne , V. M. Tkachuk

We study in this paper the quantum phase transition (QPT) from normal phase (NP) to superradiant phase (SP) for $N$ three-level atoms in a single-mode optical cavity for both Hermitian and non Hermitian Hamiltonians, where the $\Xi$-type…

量子物理 · 物理学 2025-12-24 Ni Liu , Xinyu Jia , J. -Q. Liang

The nonlinear photon-photon interaction mediated by a single two-level atom is studied theoretically based on a one-dimensional model of the field-atom interaction. This model allows us to determine the effects of an atomic nonlinearity on…

量子物理 · 物理学 2009-11-10 Kunihiro Kojima , Holger F. Hofmann , Shigeki Takeuchi , Keiji Sasaki

The Lindblad approach to continuous quantum measurements is applied to a system composed of a two-level atom interacting with a stationary quantized electromagnetic field through a dispersive coupling fulfilling quantum nondemolition…

量子物理 · 物理学 2009-10-31 Roberto Onofrio , Lorenza Viola

Atoms trapped in microcavities and interacting through the exchange of virtual photons can model an anisotropic Heisenberg spin-1/2 lattice. We do the quantum field theoretical study of such a system using the Abelian bosonization method…

介观与纳米尺度物理 · 物理学 2009-10-29 Sujit Sarkar

Motivated by the recent advances in optical imaging and tracking of wave-packet propagation in optical cavities, we systematically explore the non-Hermitian polariton dynamics within a decay-tunable multimode cavity model. The complex…

量子物理 · 物理学 2025-07-29 Md Qutubuddin , Ilia Tutunnikov , Jianshu Cao

We present a model of interacting quantum fields, formulated in a non-perturbative manner. One of the fields is treated semi-classically, the other is the photon field. The model has an interpretation of an electromagnetic field in a…

高能物理 - 理论 · 物理学 2007-05-23 Jan Naudts , Maciej Kuna , Wojciech De Roeck

We present a way of measuring with high precision the anharmonicity of a quantum oscillator coupled to an optical field via radiation pressure. Our protocol uses a sequence of pulsed interactions to perform a loop in the phase space of the…

量子物理 · 物理学 2016-05-05 Ludovico Latmiral , Federico Armata , Marco G. Genoni , Igor Pikovski , M. S. Kim

We introduce a combination of coherent states as variational test functions for the atomic and radiation sectors to describe a system of Na three- level atoms interacting with a one-mode quantised electromagnetic field, with and without the…

量子物理 · 物理学 2015-10-22 R. López-Peña , S. Cordero , E. Nahmad-Achar , O. Castaños

A new application of quantum field theory is developed that gives a description of the internal dynamics of dressed elementary particles and predicts their masses. The fermionic and bosonic quantum fields are treated as interdependent…

综合物理 · 物理学 2012-08-28 J. M. Greben

We consider a translation-invariant Pauli-Fierz model describing a non-relativistic charged quantum mechanical particle interacting with the quantized electromagnetic field. The charged particle may be spinless or have spin one half. We…

数学物理 · 物理学 2024-02-02 David Hasler , Oliver Siebert

The process of renormalisation in nonperturbative Hamiltonian Effective Field Theory (HEFT) is examined in the $\Delta$-resonance scattering channel. As an extension of effective field theory incorporating the L\"uscher formalism, HEFT…

高能物理 - 格点 · 物理学 2022-08-31 Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas , Jia-Jun Wu

Spontaneously generated coherence and enhanced dispersion in a V-type, three-level atomic system interacting with a single mode field can considerably reduce the radiative and cavity decay rates. This may eliminate the use of high finesse,…

光学 · 物理学 2017-04-05 Amitabh Joshi , Juan D. Serna

Non-Hermitian Hamiltonians enrich quantum physics by extending conventional phase diagrams, enabling novel topological phenomena, and realizing exceptional points with potential applications in quantum sensing. Here, we present an…