Two qubit entanglement when the RWA is violated

Agarwal, Swapnil; Rafsanjani, Seyed Mohammad Hashemi; Eberly, J. H.

doi:10.1364/fio.2012.fth3b.7

Cited by 7 publications

(27 citation statements)

References 8 publications

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“…For instance, tracing of the oscillator degree of freedom yields the reduced density matrix of the qubit. Its explicit structure obtained via (2.11, 2.10) assumes the form 12) where the components read 14) and the coefficients are given by…”

Section: The Reduced Density Matricesmentioning

confidence: 99%

“…For analytically evaluating the density matrix elements in the context of the TavisCummings model at higher values of the qubit-oscillator coupling strength the authors of Ref. [14] have developed a method based on the Poisson sum formula. They have retained contributions up to the quadratic terms in the expansion of the Laguerre polynomials: L n pxq " 1´nx`1 2!`n 2˘x 2`O px 3 q.…”

Section: The Qubit Density Matrixmentioning

confidence: 99%

“…In our summation scheme we retain contributions Opx 2 q in the density matrix elements and consider up to quadratic terms in the Laguerre polynomials. To proceed, we, following [14], approximate at a suitably large value of |α`| 2 the Poisson distribution in (2.13, 2.14) with the corresponding Gaussian limit:…”

Section: The Qubit Density Matrixmentioning

confidence: 99%

“…Studying a system of two qubits coupled to a single oscillator mode in the context of the Tavis-Cummings model the authors of Ref. [14] have analytically evaluated the collapse and revival dynamics of the qubit reduced density matrix elements. Their procedure employs the Poisson sum formula [15] that leads to expressions of the said elements as infinite sums.…”

Section: Introductionmentioning

confidence: 99%

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Quasi-Bell states in a strongly coupled qubit–oscillator system and their delocalization in the phase space

Chakrabarti

Jenisha

2015

Physica A: Statistical Mechanics and its Applications

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We study the evolution of bipartite entangled quasi-Bell states in a strongly coupled qubitoscillator system in the presence of a static bias, and extend it to the ultra-strong coupling regime. Using the adiabatic approximation the reduced density matrix of the qubit is obtained for the strong coupling domain in closed form that involves linear combinations of the Jacobi theta functions. The reduced density matrix of the oscillator yields the phase space Husimi Q-distribution. In the strong coupling regime the Q-function evolves to uniformly separated macroscopically distinct Gaussian peaks representing 'kitten' states at certain specified times that depend on multiple time scales present in the interacting system. For the ultra-strong coupling realm the delocalization in the phase space of the oscillator is studied by using the Wehrl entropy and the complexity of the quantum state. For a small phase space amplitude the entangled quasi-Bell state develops, during its time evolution, squeezing property and nonclassicality of the photon statistics which are measured by the quadrature variance and the Mandel parameter, respectively.

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Section: The Reduced Density Matricesmentioning

confidence: 99%

Section: The Qubit Density Matrixmentioning

confidence: 99%

Section: The Qubit Density Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quasi-Bell states in a strongly coupled qubit–oscillator system and their delocalization in the phase space

Chakrabarti

Jenisha

2015

Physica A: Statistical Mechanics and its Applications

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“…First, it can be shown that W (t) is related to the characteristic function of the P distribution [29]. This suggests that Eq.…”

Section: Witnessing Non-classicality Through a Qubit Coupled To Tmentioning

confidence: 99%

Witnessing nonclassicality of a quantum oscillator state by coupling it to a qubit

Agarwal

Eberly

2012

Phys. Rev. A

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We propose a new witness operation for the non-classical character of a harmonic oscillator state. The method does not require state reconstruction. For all harmonic oscillator states that are classical, a bound is established for the evolution of a qubit which is coupled to the oscillator. Any violation of the bound can be rigorously attributed to the non-classical character of the initial oscillator state.

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The dynamics of a qubit coupled strongly with a quantum oscillator

Tian

2012

Preprint

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Two qubit entanglement when the RWA is violated

Cited by 7 publications

References 8 publications

Quasi-Bell states in a strongly coupled qubit–oscillator system and their delocalization in the phase space

Quasi-Bell states in a strongly coupled qubit–oscillator system and their delocalization in the phase space

Witnessing nonclassicality of a quantum oscillator state by coupling it to a qubit

The dynamics of a qubit coupled strongly with a quantum oscillator

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