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Entanglement behaviors of two-mode squeezed thermal states in two different environments

Shao-Hua Xiang, Kehui Song, W. Wen +1 more

The European Physical Journal DMar 18, 201110 citations

Entanglement of Photon-Subtracted Two-Mode Squeezed Thermal State and Its Decoherence in Thermal Environments

Haoliang Zhang, Yin-Quan Hu, Fang Jia +1 more

International Journal of Theoretical PhysicsJan 24, 201411 citations

Entanglement and nonlocality of one- and two-mode combination squeezed state

Liyun Hu, Xue-xiang Xu, Qin Guo +1 more

arXiv:1008.5253Optics CommunicationsAug 18, 20107 citations

Dynamical generation of stable optical-microwave squeezing in structured reservoirs

Chen Wang, Man Shen, Shi-fan Qi +1 more

Two-mode squeezed states as paradigmatic entangled resources have broad applications in quantum information processing. Here, we study the generation of stable optical-microwave squeezing in structured environments within a hybrid electro-optomechanical system, where a mechanical oscillator is simultaneously coupled to an optical cavity mode and a microwave mode of an LC resonator. Specifically, an effective Hamiltonian that captures the optical-microwave squeezing interaction is constructed by combining strongly modulated driving fields applied to both photonic modes with a mechanical parametric amplifier. Based on this effective model, the dynamical evolution of two-mode squeezing in structured environments is analyzed. It is remarkably shown that the non-Markovian noise can substantially enhance the squeezing level in comparison to the Markovian case, and that two-mode squeezing can persist even in the absence of external driving fields under non-Markovian conditions, thereby mitigating the detrimental effects of anti-squeezing. Furthermore, the persistence of the two-mode squeezed state is enhanced when the environmental spectral densities of the microwave and optical modes are identical. Our work provides a theoretical framework for generating and persisting two-mode squeezing in structured environments.Two-mode squeezed states as paradigmatic entangled resources have broad applications in quantum information processing. Here, we study the generation of stable optical-microwave squeezing in structured environments within a hybrid electro-optomechanical system, where a mechanical oscillator is simultaneously coupled to an optical cavity mode and a microwave mode of an LC resonator. Specifically, an effective Hamiltonian that captures the optical-microwave squeezing interaction is constructed by combining strongly modulated driving fields applied to both photonic modes with a mechanical parametric amplifier. Based on this effective model, the dynamical evolution of two-mode squeezing in structured environments is analyzed. It is remarkably shown that the non-Markovian noise can substantially enhance the squeezing level in comparison to the Markovian case, and that two-mode squeezing can persist even in the absence of external driving fields under non-Markovian conditions, thereby mitigating the detrimental effects of anti-squeezing. Furthermore, the persistence of the two-mode squeezed state is enhanced when the environmental spectral densities of the microwave and optical modes are identical. Our work provides a theoretical framework for generating and persisting two-mode squeezing in structured environments.

quant-pharXiv:2604.24215Apr 28, 20260 citations

Quantum entanglement of symmetrically decohered two-mode squeezed states in an absorbing and amplifying environment

Phoenix S. Y. Poon, C. K. Law

We investigate the properties of quantum entanglement of two-mode squeezed states interacting with symmetric linear baths with general gain and loss parameters. By explicitly solving for $\ensuremath{\rho}$ from the master equation, we determine analytical expressions of eigenvalues and eigenvectors of ${\ensuremath{\rho}}^{{T}_{A}}$ (the partial transposition of density matrix $\ensuremath{\rho}$). In Fock space, ${\ensuremath{\rho}}^{{T}_{A}}$ is shown to maintain a block diagonal structure as the system evolves. In addition, we discover that the decoherence induced by the baths would break the degeneracy of ${\ensuremath{\rho}}^{{T}_{A}}$, and leads to a set of eigenvectors for the construction of entanglement witness operators. Such eigenvectors are shown to be time independent, which is a signature of robust entanglement of two-mode squeezed states in the presence of noise.We investigate the properties of quantum entanglement of two-mode squeezed states interacting with symmetric linear baths with general gain and loss parameters. By explicitly solving for $\ensuremath{\rho}$ from the master equation, we determine analytical expressions of eigenvalues and eigenvectors of ${\ensuremath{\rho}}^{{T}_{A}}$ (the partial transposition of density matrix $\ensuremath{\rho}$). In Fock space, ${\ensuremath{\rho}}^{{T}_{A}}$ is shown to maintain a block diagonal structure as the system evolves. In addition, we discover that the decoherence induced by the baths would break the degeneracy of ${\ensuremath{\rho}}^{{T}_{A}}$, and leads to a set of eigenvectors for the construction of entanglement witness operators. Such eigenvectors are shown to be time independent, which is a signature of robust entanglement of two-mode squeezed states in the presence of noise.

arXiv:0704.1965Physical Review AJul 31, 200711 citations

Entanglement of Two-Mode Squeezed Even and Odd Coherent States

Wu, Wei Wei, Liu +3 more

理论物理通讯：英文版Jan 1, 20081 citation

Entanglement structure of two-mode squeezed states in absorbing and amplifying environment

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