Entanglement, photon statistics and Wehrl entropy for a time-dependent qubit–field system in the presence of phase decoherence effect

AbstractThe present paper provides a numerical investigation of the decoherence effect induced on a quantum heavy particle by the scattering with a light one. The time dependent two-particle Schrödinger equation is solved by means of a time-splitting method. The damping undergone by the non-diagonal terms of the heavy particle density matrix is estimated numerically as well as the error in the Joos-Zeh approximation formula.

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WEHRL ENTROPY AND ENTANGLEMENT OF A TIME-DEPENDENT TWO-LEVEL TRAPPED ION INTERACTING WITH A LASER FIELD

International Journal of Quantum Information ◽

10.1142/s0219749908003438 ◽

2008 ◽

Vol 06 (02) ◽

pp. 331-339

Author(s):

MAHMOUD ABDEL-ATY ◽

SAYED ABDEL-KHALEK ◽

ABDEL-SHAFY F. OBADA

Keyword(s):

Exact Solution ◽

Time Evolution ◽

Laser Field ◽

Equation Of Motion ◽

Time Dependent ◽

Heisenberg Equation ◽

Wehrl Entropy ◽

Entanglement Generation ◽

Trapped Ion ◽

Cat States

The time evolution of the atomic Wehrl entropy and long-lived entanglement generation using a single trapped ion interacting with a laser field are analyzed. Starting from the Heisenberg equation of motion, an exact solution of the system is obtained by indicating that there are some interesting features when a time-dependent modulating function is considered. We demonstrate that the long-living quantum entanglement can be obtained using the time-independent interaction when the field is initially in a pair cat states.

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Entropy squeezing for qubit – field system under decoherence effect

Quantum Electronics ◽

10.1070/qe2014v044n03abeh015318 ◽

2014 ◽

Vol 44 (3) ◽

pp. 274-278 ◽

Cited By ~ 2

Author(s):

S Abdel-Khalek ◽

K Berrada ◽

A-S F Obada ◽

M R Wahiddin

Keyword(s):

Entropy Squeezing ◽

Field System ◽

Decoherence Effect

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Sub-Poissonian photon statistics in time-dependent collective resonance fluorescence

Physical Review A ◽

10.1103/physreva.41.6425 ◽

1990 ◽

Vol 41 (11) ◽

pp. 6425-6428 ◽

Cited By ~ 12

Author(s):

Vladimír Buz̆ek ◽

Tran Quang ◽

L. H. Lan

Keyword(s):

Time Dependent ◽

Photon Statistics ◽

Resonance Fluorescence ◽

Collective Resonance

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JAYNES-CUMMINGS MODEL AS A CASE STUDY FOR THE DERIVATION OF TIME-DEPENDENT SCHRÖDINGER EQUATION

International Journal of Modern Physics B ◽

10.1142/s0217979208050309 ◽

2008 ◽

Vol 22 (25n26) ◽

pp. 4557-4564

Author(s):

SUPITCH KHEMMANI ◽

VIRULH SA-YAKANIT

Keyword(s):

Schrödinger Equation ◽

Coherent State ◽

Linear Combination ◽

Schrodinger Equation ◽

Time Dependent ◽

State Representation ◽

Field System ◽

Single State ◽

Special Case

The derivation of a time-dependent Schrödinger equation (TDSE) from a time-independent Schrödinger equation (TISE) in the coherent state representation is considered for the special case of a simple coupled atom-field system described by the soluble Jaynes-Cummings model. The derivation shows why, from the outset, a linear combination of energy eigenstates, instead of a single state, must be used in order to obtain a TDSE for general states. Moreover, this study leads to a method of solving a TDSE by simply solving a TISE.

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Nonclassical Atomic System Dynamics Time-dependently Interacts With Finite Entangled Pair Coherent Parametric Converter Cavity Fields

10.21203/rs.3.rs-211029/v1 ◽

2021 ◽

Author(s):

A.B. mohamed ◽

E. M. Khalil ◽

M. Y. Abd-Rabbou

Keyword(s):

Phase Space ◽

Time Dependent ◽

Physical Parameters ◽

Atomic Coherence ◽

Wehrl Entropy ◽

Location Parameters ◽

Parametric Converter ◽

Dependent Model ◽

The Difference ◽

Quantum Phenomena

Abstract We consider a time-dependent model that describes a qubit time-dependently interacts with a cavity containing finite entangled pair coherent parametric converter fields. The dynamics of some quantum phenomena, as: phase space information, quantum entanglement and squeezing, are explored by atomic Husimi function, atomic Wehrl entropy, variance, and entropy squeezing. The influences of the unitary qubit-cavity interaction, the difference between the two-mode photon numbers, the initial atomic coherence, and the time-dependent qubit location are investigated. It is found that the regularity, the amplitudes and the frequency of the quantum phenomena can be controlled by the physical parameters. For the initial atomic pure state, the qubit-cavity entanglement, the qubit phase space information, and atomic squeezing can be generated strongly compared to those of the initial atomic mixed state. The time-dependent location parameters enhance the generated quantum phenomena, and its effect can be enhanced by the parameters of the two-mode photon numbers and the initial atomic coherence.

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