Quantum correlations and entanglement in a model comprised of a short chain of nonlinear oscillators

Kalaga, J. K.; Kowalewska-Kudłaszyk, A.; Leoński, W.; Barasiński, Artur

doi:10.1103/physreva.94.032304

Cited by 46 publications

(25 citation statements)

References 88 publications

(77 reference statements)

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“…n . Unfortunately, we cannot proceed any further with simplifications of (13). The explicit expression in the timeordered exponential leads to a time ordered exponential of exponential operators, which cannot be treated with the tools described here.…”

Section: Time Evolution Of Optically Driven Multimode and Multiresmentioning

confidence: 99%

Time evolution of coupled multimode and multiresonator optomechanical systems

Bruschi

2019

Journal of Mathematical Physics

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We study the time evolution of bosonic systems where multiple driven bosonic modes of light interact with multiple mechanical resonators through arbitrary, time-dependent, optomechanical-like interactions. We find the analytical expression for the full time evolution of the system and compute the expectation value of relevant quantities of interest. Among the most interesting ones, we are able to compute the first-order quantum bipartite coherence between pairs of subsystems, and the analytical expression for the mixedness induced by the nonlinear interaction in the reduced state of the mechanical oscillators. Finally, we also compare our results with a linearised version of the system, and we find a regime where there are qualitative and quantitative differences in the behavior of some measurable quantities. Our results can therefore be used to describe the full time-evolution of the system, to characterise its nonlinear character and explore the validity of the linearisation approach.

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Section: Time Evolution Of Optically Driven Multimode and Multiresmentioning

confidence: 99%

Time evolution of coupled multimode and multiresonator optomechanical systems

Bruschi

2019

Journal of Mathematical Physics

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“…Here, we are interested in a possibility of generation steerable and entangled states. We assume here that the interactions among the wells are weak, analogously to the models of quantum scissors discussed in [26,42], i.e., ε 12 = ε 23 = ε 13 = 0.001χ . Moreover, to check the influence of the coupling strength on the properties of generated states we assume here that two coupling parameters are equal each other (ε 12 = ε 23 = ε), whereas the third parameter ε 13 vary from 0 to 4ε.…”

Section: The Modelmentioning

confidence: 99%

“…Quantum scissors systems can lead to the generation of the states defined in finite-dimensional Hilbert space-we observe there photon (or phonon) blockade effect [17][18][19][20][21][22]. Moreover, various types of quantum correlations, including quantum entanglement, can appear in such models, [23][24][25][26]. Since the effective Hamiltonian describing Bose-Hubbard model involves Kerr-type terms, it can be applied for description of different physical situations.…”

Section: Introductionmentioning

confidence: 99%

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Kalaga

Leoński

Szczȩśniak

2017

Quantum Inf Process

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We consider the possibility of generation steerable states in Bose-Hubbard system composed of three interacting wells in the form of a triangle. We show that although our system still fulfills the monogamy relations, the presence of additional coupling which transforms a chain of wells onto triangle gives a variety of new possibilities for the generation of steerable quantum states. Deriving analytical formulas for the parameters describing steering and bipartite entanglement, we show that interplay between two couplings influences quantum correlations of various types. We compare the time evolution of steering parameters to those describing bipartite entanglement and find the relations between the appearance of maximal entanglement and disappearance of steering effect.

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“…They result in truncation of the Hilbert space (nonlinear quantum scissors) [83][84][85][86] and subsequent generation of highly entangled states [77,84,87]. Various forms of quantum correlations such as the entanglement and Einstein-Podolsky-Rosen (EPR) steering were also predicted in short chains of quantum Kerr oscillators [88][89][90][91]. On the other hand, the process of parametric down-conversion analyzed alone without any damping or amplification gives rise to both single-mode squeezing and entanglement between both modes expressed through sub-shot-noise photon-number correlations [92].…”

Section: Introductionmentioning

confidence: 99%

Nonclassical light at exceptional points of a quantum PT -symmetric two-mode system

et al. 2019

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A two-mode optical parity-time (PT ) symmetric system, with gain and damping, described by a quantum quadratic Hamiltonian with additional small Kerr-like nonlinear terms, is analyzed from the point of view of nonclassical-light generation. Two kinds of stationary states with different types of (in)stability are revealed. Properties of one of these are related to the presence of semiclassical exceptional points, i.e., exotic degeneracies of the non-Hermitian Hamiltonian describing the studied system without quantum jumps. The evolution of the logarithmic negativity, principal squeezing variances, and sub-shot-noise photon-number correlations, considered as entanglement and nonclassicality quantifiers, is analyzed in the approximation of linear-operator corrections to the classical solution. Suitable conditions for nonclassical-light generation are identified in the oscillatory regime, especially at and around exceptional points that considerably enhance the nonlinear interaction and, thus, the non-classicality of the generated light. The role of quantum fluctuations, inevitably accompanying attenuation and amplification in the evolution of quantum states, is elucidated. The evolution of the system is analyzed for different initial conditions.

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Quantum correlations and entanglement in a model comprised of a short chain of nonlinear oscillators

Cited by 46 publications

References 88 publications

Time evolution of coupled multimode and multiresonator optomechanical systems

Time evolution of coupled multimode and multiresonator optomechanical systems

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Nonclassical light at exceptional points of a quantum PT -symmetric two-mode system

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