Quantum entanglement and squeezing in coupled harmonic and anharmonic oscillator systems

Chew, Lock Yue; Chung, Ning Ning

doi:10.1007/s10946-011-9221-3

Cited by 7 publications

(6 citation statements)

References 25 publications

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“…As shown in Reference [17], by eliminating γ between Equations (5) and (6), the relation between the squeezing parameter and the von Neumann entropy of the ground state of the coupled harmonic oscillators is obtained as follow:…”

Section: Dynamical Relation Of Quantum Squeezing and Entanglement In mentioning

confidence: 99%

“…Indeed, the relation between quantum squeezing and quantum entanglement has been actively pursued in recent years [9][10][11][12][13][14][15][16][17][18]. Notably, the creation of entanglement is shown experimentally to be able to induce spin squeezing [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, quantum squeezing is found to be able to induce, enhance and even preserve entanglement in decohering environments [11][12][13]. Previously, we have investigated the relation between the squeezing and entanglement of the ground state of the coupled harmonic oscillator system [16,17]. The ground state entanglement entropy was found to increase monotonically with an increase in quadrature squeezing within this system.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical Relation between Quantum Squeezing and Entanglement in Coupled Harmonic Oscillator System

Chew

Chung

2014

Symmetry

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In this paper, we investigate into the numerical and analytical relationship between the dynamically generated quadrature squeezing and entanglement within a coupled harmonic oscillator system. The dynamical relation between these two quantum features is observed to vary monotically, such that an enhancement in entanglement is attained at a fixed squeezing for a larger coupling constant. Surprisingly, the maximum attainable values of these two quantum entities are found to consistently equal to the squeezing and entanglement of the system ground state. In addition, we demonstrate that the inclusion of a small anharmonic perturbation has the effect of modifying the squeezing versus entanglement relation into a nonunique form and also extending the maximum squeezing to a value beyond the system ground state.

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Section: Dynamical Relation Of Quantum Squeezing and Entanglement In mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamical Relation between Quantum Squeezing and Entanglement in Coupled Harmonic Oscillator System

Chew

Chung

2014

Symmetry

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“…The systems of coupled harmonic oscillators have been drawing attentions for quite sometimes [1][2][3][4][5][6][7][8][9]. These systems raise considerable discussions due to their applications in quantum physics and quantum field theory [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…Squeezed states are relevant for the preparation of Fock states of harmonic oscillator strongly coupled to a single two level atom [31]. These states attract wide interests and fundamental connections between the squeezed state and entanglement are studied [8,[32][33][34][35]. For producing antibunched photons, the single photon sources remain the essential component.…”

Section: Introductionmentioning

confidence: 99%

Nonclassical effects in two coupled oscillators at non resonant region

Mukhopadhyay¹

2018

J. Phys. Commun.

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We consider two coupled quantum harmonic oscillators with different free frequencies.Here the interaction between the two modes does not involve the Rotating Wave Approximation (RWA). The Heisenberg equations of motion are solved analytically using an approximate technique and the solutions are used to measure nonclassicalities associated with the system. The nonclassicality criteria chosen in this study are experimentally measurable. The analytical solutions are matched with numerical simulations with the help of a numerical toolbox. It is evident from the time developments of the operators that nonclasities, namely squeezing and quantum entanglement are present in the system. The counting statistics for the oscillator with lower free energy and the coupled mode are shown to be sub-Poissonian for a particular set of parameters. Consequently, the system may exhibit quantum mechanical antibunching.

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An exact algebraic solution of two harmonic modes coupled through the angular momentum

et al. 2023

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Quantum entanglement and squeezing in coupled harmonic and anharmonic oscillator systems

Cited by 7 publications

References 25 publications

Dynamical Relation between Quantum Squeezing and Entanglement in Coupled Harmonic Oscillator System

Dynamical Relation between Quantum Squeezing and Entanglement in Coupled Harmonic Oscillator System

Nonclassical effects in two coupled oscillators at non resonant region

An exact algebraic solution of two harmonic modes coupled through the angular momentum

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