An analytical solution is found for the master equation of a system described by a nonlinear Jaynes–Cummings model, in the presence of nonlinear quantum dissipation at zero temperature in the large detuning approximation. We study the influence of nonlinear quantum dissipation on the output entanglement dynamics of the atom–field system, considering the field to be initially in SU (1, 1) coherent states. It is found that in the presence of the nonlinear quantum dissipation, the amplitude of the output entanglement between the field and the atom decreases with time, however the entanglement between the field–atom system and the environment increases with time.An analytical solution is found for the master equation of a system described by a nonlinear Jaynes–Cummings model, in the presence of nonlinear quantum dissipation at zero temperature in the large detuning approximation. We study the influence of nonlinear quantum dissipation on the output entanglement dynamics of the atom–field system, considering the field to be initially in SU (1, 1) coherent states. It is found that in the presence of the nonlinear quantum dissipation, the amplitude of the output entanglement between the field and the atom decreases with time, however the entanglement between the field–atom system and the environment increases with time.

Journal of Physics A Mathematical and TheoreticalDec 10, 200911 citations

Spin Squeezing, Entanglement, and Intelligent Coherent States in a Spin-1 System Interacting with an External Magnetic Field

Chadia Qotni

In this paper, we study a spin-1 system’s coherent states in the context of the f-deformed suf(2) algebra. This algebraic framework is used to generate intelligent coherent spin states, and the accompanying uncertainty relations are studied to analyze their quantum features. Nonlinear effects related to absorption saturation and dispersion phenomena are shown by calculating the coherent states of the entire spin system up to third order approximation. The resulting asymptotic formulas show that the excitation frequency and spin state transition processes have a significant influence on the nonlinear behavior. Additionally, we demonstrate that the suggested states have squeezing characteristics typical of intelligent states and meet minimum uncertainty relations. Additionally included are the impact of relaxation effects, material-dependent factors, and higher-order corrections on the nonlinear dynamics. These findings could lead to new advances in quantum information processing, nonlinear quantum systems, and quantum optics.In this paper, we study a spin-1 system’s coherent states in the context of the f-deformed suf(2) algebra. This algebraic framework is used to generate intelligent coherent spin states, and the accompanying uncertainty relations are studied to analyze their quantum features. Nonlinear effects related to absorption saturation and dispersion phenomena are shown by calculating the coherent states of the entire spin system up to third order approximation. The resulting asymptotic formulas show that the excitation frequency and spin state transition processes have a significant influence on the nonlinear behavior. Additionally, we demonstrate that the suggested states have squeezing characteristics typical of intelligent states and meet minimum uncertainty relations. Additionally included are the impact of relaxation effects, material-dependent factors, and higher-order corrections on the nonlinear dynamics. These findings could lead to new advances in quantum information processing, nonlinear quantum systems, and quantum optics.

Journal of Prime Research in MathematicsOct 29, 20260 citations

Method of pseudo-coherent states in nonlinear quantum systems

C. A. Namiot

Journal of Experimental and Theoretical PhysicsSep 1, 19790 citations

Quantum metrology for nonlinear phase shifts with entangled coherent states

Jaewoo Joo, Ki-min Park B, Hyunseok Jeong +3 more

We investigate the phase enhancement of quantum states subject to nonlinear phase shifts. The optimal phase estimation of even entangled coherent states (ECSs) is shown to be better than that of NOON states with the same average particle number $\ensuremath{\langle}n\ensuremath{\rangle}$ and nonlinearity exponent $k$ . We investigate the creation of an approximate entangled coherent state (AECS) from a photon-subtracted squeezed vacuum with current optical technology methods and show that a pure AECS is even better than an even ECS for large $\ensuremath{\langle}n\ensuremath{\rangle}$. Finally, we examine the simple, but physically relevant, cases of loss in the nonlinear interferometer for a fixed average photon number $\ensuremath{\langle}n\ensuremath{\rangle}$.We investigate the phase enhancement of quantum states subject to nonlinear phase shifts. The optimal phase estimation of even entangled coherent states (ECSs) is shown to be better than that of NOON states with the same average particle number $\ensuremath{\langle}n\ensuremath{\rangle}$ and nonlinearity exponent $k$. We investigate the creation of an approximate entangled coherent state (AECS) from a photon-subtracted squeezed vacuum with current optical technology methods and show that a pure AECS is even better than an even ECS for large $\ensuremath{\langle}n\ensuremath{\rangle}$. Finally, we examine the simple, but physically relevant, cases of loss in the nonlinear interferometer for a fixed average photon number $\ensuremath{\langle}n\ensuremath{\rangle}$.

arXiv:1203.2099Physical Review AOct 18, 201295 citations

Nonlinear Coherent States: Main Tools

WORLD SCIENTIFIC eBooksOct 7, 20200 citations

k

. We investigate the creation of an approximate entangled coherent state (AECS) from a photon-subtracted squeezed vacuum with current optical technology methods and show that a pure AECS is even better than an even ECS for large $\ensuremath{\langle}n\ensuremath{\rangle}$. Finally, we examine the simple, but physically relevant, cases of loss in the nonlinear interferometer for a fixed average photon number $\ensuremath{\langle}n\ensuremath{\rangle}$.