Sub-Planck phase-space structure and sensitivity for SU(1,1) compass states

Akhtar, Naeem; Sanders, Barry C.; Xianlong, Gao

doi:10.1103/physreva.106.043704

Cited by 10 publications

(3 citation statements)

References 104 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[29,30] For about last two decades, cavity optomechanical systems [31][32][33] have gained importance due to their academic significance and applications in foundational issues of quantum mechanics [34] and highly precise measurements. [35] Optomechanical systems have recently sparked widespread interest in their discussion of quantumness [36] via the Wigner function [37,38] and time-frequency analysis. [39] In addition to the above, optomechanical systems have been experimentally used because of the development of optical micro-cavity technology.…”

Section: Introductionmentioning

confidence: 99%

Enhanced Entanglement and Controlling Quantum Steering in a Laguerre–Gaussian Cavity Optomechanical System with Two Rotating Mirrors

et al. 2023

Self Cite

View full text Add to dashboard Cite

Gaussian quantum steering is a type of quantum correlation in which two entangled states exhibit asymmetry. An efficient theoretical proposal is presented for the control of quantum steering and enhancement of entanglement in a Laguerre-Gaussian (LG) cavity optomechanical system. The system contains two rotating mirrors and a coherently driven optical parametric amplifier (OPA). The numerical results show significantly improved mirror-mirror and mirror-cavity entanglements by controlling the system parameters such as parametric gain, parametric phase, and the frequency of the two rotating mirrors. In addition to bipartite entanglement, our system also exhibits mirror-cavity-mirror tripartite entanglement as well. Another intriguing finding is the control of quantum steering, for which several results were obtained by investigating it for various system parameters. It is shown that the steering directivity is primarily determined by the frequency of two rotating mirrors. Furthermore, for two rotating mirrors, quantum steering is found to be asymmetric both one-way and two-way. Therefore, it can be asserted that the current proposal may help in the understanding of non-local correlations and entanglement verification tasks.

show abstract

Section: Introductionmentioning

confidence: 99%

Enhanced Entanglement and Controlling Quantum Steering in a Laguerre–Gaussian Cavity Optomechanical System with Two Rotating Mirrors

et al. 2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…The SNL (1) can be overcome also using Fock states and various other exotic non-Gaussian quantum states, see e.g., Refs. [11,[18][19][20][21][22][23][24][25] and the reviews [26,27]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity of Quantum-Enhanced Interferometers

Dariya

Khalili

2023

Symmetry

View full text Add to dashboard Cite

We review various schemes of quantum-enhanced optical interferometers, both linear (SU(2)) and non-linear (SU(1,1)) ones, as well as hybrid SU(2)/SU(1,1) options, using the unified modular approach based on the Quantum Cramèr–Rao bound (QCRB), and taking into account the practical limitations pertinent to all real-world highly-sensitive interferometers. We focus on three important cases defined by the interferometer symmetry: (i) the asymmetric single-arm interferometer; (ii) the symmetric two-arm interferometer with the antisymmetric phase shifts in the arms; and (iii) the symmetric two-arm interferometer with the symmetric phase shifts in the arms. We show that while the optimal regimes for these cases differ significantly, their QCRBs asymptotically correspond to the same squeezing-enhanced shot noise limit (2), which first appeared in the pioneering work by C. Caves in 1981.We show also that in all considered cases the QCRB can be asymptotically saturated by the standard (direct or homodyne) detection schemes.

show abstract

“…In the present paper, we obtain the correspondence rules for quantum systems possessing

symmetry [ 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 ] and apply them for the analysis of phase-space dynamics generated by some non-linear (polynomial) Hamiltonians. The classical phase-space in this case is the upper sheet of the two-sheet hyperboloid.…”

Section: Introductionmentioning

confidence: 99%

Correspondence Rules for SU(1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space

Baltazar

Valtierra

Klimov

2022

Entropy

View full text Add to dashboard Cite

We derive the explicit differential form for the action of the generators of the SU(1,1) group on the corresponding s-parametrized symbols. This allows us to obtain evolution equations for the phase-space functions on the upper sheet of the two-sheet hyperboloid and analyze their semiclassical limits. Dynamics of quantum systems with SU(1,1) symmetry governed by compact and non-compact Hamiltonians are discussed in both quantum and semiclassical regimes.

show abstract

Sub-Planck phase-space structure and sensitivity for SU(1,1) compass states

Cited by 10 publications

References 104 publications

Enhanced Entanglement and Controlling Quantum Steering in a Laguerre–Gaussian Cavity Optomechanical System with Two Rotating Mirrors

Enhanced Entanglement and Controlling Quantum Steering in a Laguerre–Gaussian Cavity Optomechanical System with Two Rotating Mirrors

Sensitivity of Quantum-Enhanced Interferometers

Correspondence Rules for SU(1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space

Contact Info

Product

Resources

About