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We study the quantum dynamics of a single mode/particle interacting inhomogeneously with a large number of particles and introduce an effective approach to find the accessible Hilbert space where the dynamics takes place. Two relevant…

Quantum Physics · Physics 2015-06-26 C. E. Lopez , H. Christ , J. C. Retamal , E. Solano

Dynamics of atom-field correlations and single-mode nonclassicalities present in the resonant Jaynes-Cummings model are investigated using negativity and entanglement potential for a set of initial states. The study has revealed the…

Quantum Physics · Physics 2022-06-29 Sriram Akella , Kishore Thapliyal , H S Mani , Anirban Pathak

This article presents a general master equation formalism for the interaction between travelling pulses of quantum radiation and localized quantum systems. Traveling fields populate a continuum of free space radiation modes and the…

Quantum Physics · Physics 2020-09-02 Alexander Holm Kiilerich , Klaus Mølmer

We generalize the Power-Zineau-Woolley transformation to obtain a canonical Hamiltonian of cavity quantum electrodynamics for arbitrary geometry of boundaries. This Hamiltonian is free from the A-square term and the instantaneous Coulomb…

Quantum Physics · Physics 2014-02-25 András Vukics , Tobias Grießer , Peter Domokos

The Jaynes-Cummings model describing the interaction of a single linearly- polarized mode of the quantized electromagnetic field with an isolated two- level atom is generalized to the case of atomic levels degenerate in the projections of…

Optics · Physics 2014-11-04 V. A. Reshetov

Demonstrating and exploiting the quantum nature of larger, more macroscopic mechanical objects would help us to directly investigate the limitations of quantum-based measurements and quantum information protocols, as well as test long…

Quantum Physics · Physics 2011-03-16 J. D. Teufel , D. Li , M. S. Allman , K. Cicak , A. J. Sirois , J. D. Whittaker , R. W. Simmonds

The dipole-coupled two-level atoms(qubits) in a single-mode resonant cavity is studied by extended bosonic coherent states. The numerically exact solution is presented. For finite systems, the first-order quantum phase transitions occur at…

Quantum Physics · Physics 2015-05-19 Qing-Hu Chen , Tao Liu , Yu-Yu Zhang , Ke-Lin Wang

The coherent state representations of the group $G = W_1 \otimes G_0$ (where $G_0 = SU(2), SU(1,1)$) are used in computer simulation of the dynamics of single two-level atom $(G_0 = SU(2))$ interacting with a quantized photon cavity mode -…

Quantum Physics · Physics 2007-05-23 Alexander V. Gorokhov , Elena V. Rogacheva , Alexander V. Shiryaev

Since the photon box gedanken experiments of several of the founding fathers of modern physics, considerable progress has been made in differentiating the quantum and classical worlds. In this pursuit, the cavity as an open quantum system…

Quantum Physics · Physics 2014-12-02 Nathan D. Poulin

An exact solution of the problem of two-atom one- and two-mode Jaynes-Cummings model with intensity-dependent coupling is presented. Asymptotic solutions for system state vectors are obtained in the approximation of large initial coherent…

Quantum Physics · Physics 2014-04-04 E. K. Bashkirov

We introduce a modified Jaynes-Cummings model with single-photon cavity radiation field but with the atomic system instead of exchanging a single photon as in the Jaynes-Cummings model, it exchanges instead a squeezed photon with squeezing…

Quantum Physics · Physics 2024-05-28 Moorad Alexanian

We develop a new transformation theory in quantum physics, where the transformation operators, defined in the infinite dimensional Hilbert space, have right-unitary inverses only. Through several theorems, we discuss the properties of state…

atom-ph · Physics 2009-10-28 Zhong Tang

We consider theoretically ultra-cold interacting bosonic atoms confined to a wire geometry and coupled to the field of an optical cavity. A spin-orbit coupling is induced via Raman transitions employing a cavity mode and a transverse…

Quantum Gases · Physics 2019-04-10 Catalin-Mihai Halati , Ameneh Sheikhan , Corinna Kollath

A major trend within the field of cavity QED is to boost the interaction strength between the cavity field and the atomic internal degrees of freedom of the trapped atom by decreasing the mode volume of the cavity. In such systems, it is…

Quantum Physics · Physics 2018-08-29 Lukas Neumeier , Darrick E. Chang

We start from a Hamiltonian describing non-interacting fermions and add bosons to the model, with a Jaynes-Cummings-like interaction between the bosons and fermions. Because of the specific form of the interaction the model can be solved…

Strongly Correlated Electrons · Physics 2015-05-18 Tobias Verhulst , Jan Naudts

The Gibbs state is widely taken to be the equilibrium state of a system in contact with an environment at temperature $T$. However, non-negligible interactions between system and environment can give rise to an altered state. Here we derive…

Quantum Physics · Physics 2021-12-28 J. D. Cresser , J. Anders

We study a generic cavity-QED system where a set of (artificial) two-level dipoles is coupled to the electric field of a single-mode LC resonator. This setup is used to derive a minimal quantum mechanical model for cavity QED, which…

Quantum Physics · Physics 2018-04-19 Daniele De Bernardis , Tuomas Jaako , Peter Rabl

Single particle localization of an ultra-cold atom is studied in one dimension when the atom is confined by an optical lattice and by the incommensurate potential of a high-finesse optical cavity. In the strong coupling regime the atom is a…

Disordered Systems and Neural Networks · Physics 2018-12-05 Jan Major , Giovanna Morigi , Jakub Zakrzewski

We revisit the decoherence of the atomic state in the resonant Jaynes-Cummings model with the field initially being in a coherent state. We show that the purity of the atom exhibits oscillating Gaussian dependence on the time with a width…

Quantum Physics · Physics 2012-03-19 G. Zhang , Z. Song

We use a right unitary decomposition to study an ultracold two-level atom interacting with a quantum field. We show that such a right unitary approach simplifies the numerical evolution for arbitrary position-dependent atom-field couplings.…

Quantum Physics · Physics 2015-06-02 F. Soto-Eguibar , A. Zúñiga-Segundo , B. M. Rodríguez-Lara , H. M. Moya-Cessa