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We describe a mathematical solution for the generation of entangled N-photon states in two field modes. A simple and compact solution is presented for a two-mode Jaynes-Cummings model by combining the two field modes in a way that only one…

Quantum Physics · Physics 2009-11-07 C. Wildfeuer , D. H. Schiller

We analyse the problem of a single mode field interacting with a pair of two level atoms. The atoms enter and exit the cavity at different times. Instead of using constant coupling, we use time dependent couplings which represent the…

Quantum Physics · Physics 2010-10-15 C. Lazarou , B. M. Garraway

The dual Dyson series [M.Frasca, Phys. Rev. A {\bf 58}, 3439 (1998)], is used to develop a general perturbative method for the study of atom-field interaction in quantum optics. In fact, both Dyson series and its dual, through…

Quantum Physics · Physics 2009-10-31 Marco Frasca

In this paper, we investigate one-time passing of a $V$-type three-level atom through a single-mode interacting field in a cavity. We extend the idea of elementary Jaynes-Cummings model by assuming that the field vector belongs to…

Quantum Physics · Physics 2023-04-12 P. K. Das , Arpita Chatterjee

The quantum state of a superconducting qubit nonresonantly coupled to a transmission line resonator can be determined by measuring the quadrature amplitudes of an electromagnetic field transmitted through the resonator. We present…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 R. Bianchetti , S. Filipp , M. Baur , J. M. Fink , M. Göppl , P. J. Leek , L. Steffen , A. Blais , A. Wallraff

In this paper, the 2+1 Dirac-Moshinsky oscillator (2+1 DMO) coupled to an external isospin field is mapped onto the Jaynes-Cummings model (JCM), which describes the interaction between two two-level systems and a quantum single-mode field.…

Quantum Physics · Physics 2019-04-23 A. S. -F. Obada , M. M. A. Ahmed , M. Abu-Shady , H. F. Habeba

We observe the nonlinearity of the Jaynes-Cummings (JC) ladder in the Autler-Townes spectroscopy of the hyperfine ground states for a Rydberg-dressed two-atom system. Here the role of the two-level system in the JC model is played by the…

In this paper, we investigate thermal effects of the Jaynes-Cummings model (JCM) at finite temperature with a perturbative approach. We assume a single two-level atom and a single cavity mode to be initially in the thermal equilibrium state…

Quantum Physics · Physics 2011-11-28 Hiroo Azuma , Masashi Ban

We develop a complete analytical description of the time evolution of squeezed states of a charged particle under the Fock-Darwin Hamiltonian and a time-dependent electric field. This result generalises a relation obtained by Infeld and…

Quantum Gases · Physics 2009-11-10 Jaime E. Santos , Nuno M. Peres , Joao Lopes dos Santos

We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume that the random field is given by a collection of independent…

Probability · Mathematics 2009-11-13 Marzio Cassandro , Enza Orlandi , Pierre Picco

We study the quantum dynamics of a two-level system interacting with a quantized harmonic oscillator in the deep strong coupling regime (DSC) of the Jaynes-Cummings model, that is, when the coupling strength g is comparable or larger than…

Quantum Physics · Physics 2010-12-27 J. Casanova , G. Romero , I. Lizuain , J. J. Garcia-Ripoll , E. Solano

State mapping between atoms and photons, and photon-photon interactions play an important role in scalable quantum information processing. We consider the interaction of a two-level atom with a quantized \textit{propagating} pulse in free…

Quantum Physics · Physics 2013-05-29 Yimin Wang , Jiří Minář , Lana Sheridan , Valerio Scarani

Recent studies have established and rigorously validated a modified Langevin noise formalism that enables first-principles quantization of electromagnetic fields in open and dissipative environments [1,2,3]. Building on this foundation, a…

Optics · Physics 2025-12-10 Jisang Seo , Hyunwoo Choi , Thomas E Roth , Jie Zhu , Weng C Chew , Dong-Yeop Na

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

Entanglement and quantum correlations between atoms are not usually considered key ingredients of the superradiant phase transition. Here we consider the Tavis-Cummings model, a solvable system of two-levels atoms, coupled with a…

Quantum Physics · Physics 2024-05-01 Arthur Vesperini , Matteo Cini , Roberto Franzosi

We explore the adiabatic particle excitations of an interacting field in a cosmological background. By following the time-evolution of the quantum state corresponding to the particle excitation, we show how the basic properties…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Arteaga

We investigate a one-dimenisonal Hamiltonian system that describes a system of particles interacting through short-range repulsive potentials. Depending on the particle mean energy, $\epsilon$, the system demonstrates a spectrum of kinetic…

Statistical Mechanics · Physics 2009-11-10 S. Denisov , A. Filippov , J. Klafter , M. Urbakh

The Jaynes-Cummings model with degenerate atomic levels and polarization-degenerate field mode is considered. The general expression for the system evolution operator is derived. The analytical expressions for such operators in the case of…

Quantum Physics · Physics 2025-04-01 V. A. Reshetov

We highlight the importance of quantum fluctuations in organizing a dissipative quantum phase transition for the driven Jaynes-Cummings interaction with variable qubit-cavity detuning. The system response presents a substantial difference…

Quantum Physics · Physics 2018-03-15 Th. K. Mavrogordatos

In this paper, we generalize the ordinary two-photon Jaynes-Cummings model (TPJCM) by considering the atom (or ion) to be trapped in a simple harmonic well. A typical setup would be an optical cavity containing a single ion in a Paul trap.…

Quantum Physics · Physics 2009-11-13 F. L. Semião , A. Vidiella-Barranco