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

Kalaga, J. K.; Leoński, W.; Szczȩśniak, R.

doi:10.1007/s11128-017-1717-5

Cited by 55 publications

(21 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [3][4][5], the authors have shown that the xth power of the entanglement of formation (x ≥ √ 2) and the concurrence (x ≥ 2) satisfy multiqubit monogamy inequalities. Monogamy relations for quantum steering have also been demonstrated in [17][18][19][20][21]. Later, polygamy inequalities were proposed in terms of the αth (0 ≤ α ≤ 1) power of square of convex-roof extended negativity (SCREN) and the entanglement of assistance [14,22].…”

Section: Introductionmentioning

confidence: 99%

Complementary quantum correlations among multipartite systems

Jin

Fei

Qiao

2020

Quantum Inf Process

View full text Add to dashboard Cite

We study the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems. General monogamy relations are presented for the αth (0 ≤ α ≤ γ, γ ≥ 2) power of quantum correlation, and general polygamy relations are given for the βth (β ≥ δ, 0 ≤ δ ≤ 1) power of quantum correlation. These monogamy and polygamy inequalities are complementary to the existing ones with different parameter regions of α and β. Applying these results to specific quantum correlations, the corresponding new classes of monogamy and polygamy relations are obtained, which include the existing ones as special cases. Detailed examples are given.

show abstract

Section: Introductionmentioning

confidence: 99%

Complementary quantum correlations among multipartite systems

Jin

Fei

Qiao

2020

Quantum Inf Process

View full text Add to dashboard Cite

show abstract

“…Note, that systems containing Kerr-type nonlinearities have already been considered as a source of entangled states [ 20 , 21 , 22 ]. Systems of two coupled waveguides with Kerr nonlinear medium used in one or both channels have been studied in the context of co- and contra-directional couplers (for review, see [ 23 ]).…”

Section: Introductionmentioning

confidence: 99%

Integrated Source of Path-Entangled Photon Pairs with Efficient Pump Self-Rejection

et al. 2020

View full text Add to dashboard Cite

We present a theoretical proposal for an integrated four-wave mixing source of narrow-band path-entangled photon pairs with efficient spatial pump self-rejection. The scheme is based on correlated loss in a system of waveguides in Kerr nonlinear media. We calculate that this setup gives the possibility for upwards of 100 dB pump rejection, without additional filtering. The effect is reached by driving the symmetric collective mode that is strongly attenuated by an engineered dissipation, while photon pairs are born in the antisymmetric mode. A similar set-up can additionally be realized for the generation of two-photon NOON states, also with pump self-rejection. We discuss the implementation of the scheme by means of the coherent diffusive photonics, and demostrate its feasibility in both glass (such as fused silica-glass and IG2) and planar semiconductor waveguide structures in indium phosphide (InP) and in silicon.

show abstract

“…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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

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

Cited by 55 publications

References 52 publications

Complementary quantum correlations among multipartite systems

Complementary quantum correlations among multipartite systems

Integrated Source of Path-Entangled Photon Pairs with Efficient Pump Self-Rejection

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

Contact Info

Product

Resources

About