Mixedness and entanglement for two-mode Gaussian states

Souza, Leonardo A. M.; Drumond, Raphael C.; Nemes, M. C.; Romero, K. M. Fonseca

doi:10.1016/j.optcom.2012.07.004

Cited by 5 publications

(9 citation statements)

References 48 publications

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“…(127) For two mode-Gaussian states, the already mentioned Simon's criterion not only provides an exhaustive entanglement witness, but it also offers a means to quantify it [38]. It is nevertheless convenient to formulate the criterion in terms of the previous covariance matrix [39]. Consider the block structure of G red (t) and define:…”

Section: Entanglement In Gaussian Statesmentioning

confidence: 99%

Dissipative entanglement of quantum spin fluctuations

Benatti

Carollo

Floreanini

2016

Journal of Mathematical Physics

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We consider two non-interacting infinite quantum spin chains immersed in a common thermal environment and undergoing a local dissipative dynamics of Lindblad type. We study the time evolution of collective mesoscopic quantum spin fluctuations that, unlike macroscopic mean-field observables, retain a quantum character in the thermodynamical limit. We show that the microscopic dissipative dynamics is able to entangle these mesoscopic degrees of freedom, through a purely mixing mechanism. Further, the behaviour of the dissipatively generated quantum correlations between the two chains is studied as a function of temperature and dissipation strength.

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Section: Entanglement In Gaussian Statesmentioning

confidence: 99%

Dissipative entanglement of quantum spin fluctuations

Benatti

Carollo

Floreanini

2016

Journal of Mathematical Physics

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“…gives a measure of the entanglement content of the state [158,159], and it can be analytically computed for the model under study [120,124]. One then easily discovers that the dissipative, mesoscopic dynamics Φ t generated by (93) can indeed produce quantum correlations among the two initially separable infinite spin chains.…”

Section: Spin Chainsmentioning

confidence: 99%

“…We are now ready to study the behaviour in the limit of large N of the microscopic dissipative dynamics Φ (N ) t generated by the dissipative generator L (N ) in ( 116) on the Weyl-like operators (158). Recalling the definition (37), one can show that:…”

Section: Dissipative Dynamics Of Fluctuations: Emergent Non-linear Op...mentioning

confidence: 99%

Quantum fluctuations in mesoscopic systems

Benatti

Carollo

Floreanini

et al. 2017

J. Phys. A: Math. Theor.

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Recent experimental results point to the existence of coherent quantum phenomena in systems made of a large number of particles, despite the fact that for many-body systems the presence of decoherence is hardly negligible and emerging classicality is expected. This behaviour hinges on collective observables, named quantum fluctuations, that retain a quantum character even in the thermodynamic limit: they provide useful tools for studying properties of many-body systems at the mesoscopic level, in between the quantum microscopic scale and the classical macroscopic one. We hereby present the general theory of quantum fluctuations in mesoscopic systems and study their dynamics in a quantum open system setting, taking into account the unavoidable effects of dissipation and noise induced by the external environment. As in the case of microscopic systems, decoherence is not always the only dominating effect at the mesoscopic scale: certain type of environments can provide means for entangling collective fluctuations through a purely noisy mechanism.

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“…The entanglement content of any two-mode Gaussian state can be easily studied; indeed, it turns out that the operation of partial transposition is an exhaustive entanglement witness [80], offering in addition a way to quantify quantum correlations. It can be conveniently formulated in terms of the previous decomposition of the covariance matrix [81,82]. By defining the four quantities:…”

Section: Gaussian States and Entanglementmentioning

confidence: 99%

Long-Lived Mesoscopic Entanglement Between Two Damped Infinite Harmonic Chains

Benatti¹,

Carollo²,

Floreanini³

et al. 2017

J Stat Phys

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We consider two chains, each made of N independent oscillators, immersed in a common thermal bath and study the dynamics of their mutual quantum correlations in the thermodynamic, large-N limit. We show that dissipation and noise due to the presence of the external environment are able to generate collective quantum correlations between the two chains at the mesoscopic level. The created collective quantum entanglement between the two many-body systems turns out to be rather robust, surviving for asymptotically long times even for non vanishing bath temperatures.

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Mixedness and entanglement for two-mode Gaussian states

Cited by 5 publications

References 48 publications

Dissipative entanglement of quantum spin fluctuations

Dissipative entanglement of quantum spin fluctuations

Quantum fluctuations in mesoscopic systems

Long-Lived Mesoscopic Entanglement Between Two Damped Infinite Harmonic Chains

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