Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1303.4318 · Journal of the Optical Society of America B

Spin squeezing, entanglement, and coherence in two driven, dissipative, nonlinear cavities coupled with single- and two-photon exchange

Ali Ü. C. Hardal, Özgür Esat Müstecaplıoğlu

Published May 29, 2014• 18 citations
arXivHTMLPDF

Abstract

We investigate spin squeezing, quantum entanglement, and second-order coherence in two coupled, driven, dissipative, nonlinear cavities. We compare these quantum statistical properties for the cavities coupled with either single- or two-photon exchange. Solving the quantum optical master equation of the system numerically in the steady state, we calculate the zero-time delay second-order correlation function for the coherent, genuine two-mode entanglement parameters, an optimal spin squeezing inequality associated with particle entanglement, concurrence, quantum entropy, and logarithmic negativity. We identify regimes of distinct quantum statistical character depending on the relative strength of photon exchange and nonlinearity. Moreover, we examine the effects of weak and strong drives on these quantum statistical regimes.

DOI
10.1364/josab.31.001402

Related papers

Photon correlations in a two-site nonlinear cavity system under coherent drive and dissipation

Sara Ferretti, Lucio Claudio Andreani, Hakan E. Türeci +1 more

We calculate the normalized second-order correlation function for a system of two tunnel-coupled photonic resonators, each one exhibiting a single-photon nonlinearity of the Kerr type. We employ a full quantum formulation: The master equation for the model, which takes into account both a coherent continuous drive and radiative as well as nonradiative dissipation channels, is solved analytically in steady state through a perturbative approach, and the results are compared to exact numerical simulations. The degree of second-order coherence displays values between $0$ and $1$, and divides the diagram identified by the two energy scales of the system---the tunneling and the nonlinear Kerr interaction---into two distinct regions separated by a crossover. When the tunneling term dominates over the nonlinear one, the system state is delocalized over both cavities, and the emitted light is coherent. In the opposite limit, photon blockade sets in, and the system shows an insulatorlike state with photons locked on each cavity, identified by antibunching of emitted light.

arXiv:1007.0384•Physical Review A•Jul 30, 2010•91 citations

Einstein–Podolsky–Rosen-type quantum entanglement between coupled cavities

Ali Ü. C. Hardal, Özgür Esat Müstecaplıoğlu

We investigate Einstein-Podolsky-Rosen (EPR)-type spatial entanglement between two coupled, driven, dissipative and nonlinear optical cavities. We identify the required parameter regimes of polariton-exchange and nonlinearity coefficients as having robust EPR-type entanglement at the steady state. In addition, we examine the influence of weak and strong drives on these parameter regimes.

Physica Scripta•Apr 1, 2014•1 citation

Quantum coherence and correlations of optical radiation by atomic ensembles interacting with a two-level atom in a microwave cavity

Özgür Esat Müstecaplıoğlu

We examine quantum statistics of optical photons emitted from atomic ensembles which are classically driven and simultaneously coupled to a two-level atom via microwave photon exchange. Quantum statistics and correlations are analyzed by calculating second-order coherence degree, von Neumann entropy, spin squeezing for multiparticle entanglement, as well as genuine two- and three-mode entanglement parameters for steady-state and nonequilibrium situations. Coherent transfer of population between the radiation modes and quantum-state mapping between the two-level atom and the optical modes are discussed. A potential experimental realization of the theoretical results in a superconducting coplanar waveguide resonator containing diamond crystals with nitrogen-vacancy color centers and a superconducting artificial two-level atom is discussed.

arXiv:1007.4867•Physical Review A•Feb 9, 2011•9 citations

Two coupled nonlinear cavities in a driven-dissipative environment

Bin Cao, Khan W. Mahmud, Mohammad Hafezi

We investigate two coupled nonlinear cavities that are coherently driven in a dissipative environment. We perform semiclassical, numerical, and analytical quantum studies of this dimer model when both cavities are symmetrically driven. In the semiclassical analysis, we find steady-state solutions with different photon occupations in two cavities. Such states can be considered analogs of the closed system double-well symmetry-breaking states. We analyze the occurrence and properties of these localized states in the system parameter space and examine how the symmetry-breaking states, in the form of a bistable pair, are associated with the single-cavity bistable behavior. In a full quantum calculation of the master equation dynamics that includes quantum fluctuations, the symmetry-breaking states and bistability disappear due to the quantum fluctuations. In the quantum trajectory picture, we observe enhanced quantum jumps and switching, which indicate the presence of the underlying semiclassical symmetry-breaking states. Finally, we present a set of analytical solutions for the steady-state correlation functions by using the complex $P$ representation and discuss its regime of validity.

arXiv:1608.07766•Physical Review A•Dec 1, 2016•37 citations

Photon Blockade in a Two-Cavity System with Two-Photon Dissipation

Hongming Tao

The photon blockade is a key quantum-nonlinear effect in which the admission of a second photon to a resonator is inhibited, enabling on-demand single-photon emission. Its practical use is limited by the weak intrinsic nonlinearity of most optical platforms. We address this limitation in a coupled-cavity architecture by engineering two-photon dissipation as a control resource rather than a detrimental loss. Within a quantum-master-equation framework, we model single-photon loss, engineered two-photon decay, and pure dephasing, and analyze their joint impact on the steady-state statistics of the driven cavities. We track the zero-delay correlation, photon populations, and detuning/drive dependences under distinct driving schemes (both cavities driven vs. single-cavity drive with. The results show that adding two-photon dissipation (i) suppresses multiphoton occupation and strengthens antibunching, (ii) broadens the operating window in detuning and drive amplitude, and (iii) improves robustness against moderate dephasing and device imperfections. A mechanism analysis attributes these gains to interference between coherent second-order processes and dissipative selection that stabilizes the odd-photon manifold. The study yields design guidelines for realizing stable, cavity-based single-photon sources using dissipation engineering.

International Conference on Intelligent Informatics and Biomedical Sciences (ICIIBMS)•Dec 2, 2025•0 citations

Parametric Control of Two-Mode Squeezed Light via Engineered Reservoirs and Tunable Optomechanical Interfaces

Tarekegn Tarekegn-Ossie-Hundebo

Quantum optomechanical systems enable versatile control of non-classical light. We study two-mode squeezed-light generation in a driven optomechanical cavity with parametrically amplified optical modes coupled to mechanical resonator. Coherent driving reveals a rich control landscape where parametric nonlinearity, optomechanical coupling, and reservoir interactions jointly tailor quantum correlations-including two-mode squeezing, entanglement, steering, and discord. Remarkably, mechanical oscillators not only mediate optical entanglement but also act as a squeezing resource, enabling enhancement or suppression of quantum correlations via parameter tuning. We derive steady-state second-order moments and closed-form covariance matrix expressions, quantifying entanglement via logarithmic negativity, steering via Reid criterion, and discord via von Neumann entropy, providing a comprehensive framework for optimized generation of quantum correlations in hybrid quantum systems.

London journal of physics.•Jul 28, 2026•0 citations
We investigate spin squeezing, quantum entanglement, and second-order coherence in two coupled, driven, dissipative, nonlinear cavities. We compare these quantum statistical properties for the cavities coupled with either single- or two-photon exchange. Solving the quantum optical master equation of the system numerically in the steady state, we calculate the zero-time delay second-order correlation function for the coherent, genuine two-mode entanglement parameters, an optimal spin squeezing inequality associated with particle entanglement, concurrence, quantum entropy, and logarithmic negativity. We identify regimes of distinct quantum statistical character depending on the relative strength of photon exchange and nonlinearity. Moreover, we examine the effects of weak and strong drives on these quantum statistical regimes.
We calculate the normalized second-order correlation function for a system of two tunnel-coupled photonic resonators, each one exhibiting a single-photon nonlinearity of the Kerr type. We employ a full quantum formulation: The master equation for the model, which takes into account both a coherent continuous drive and radiative as well as nonradiative dissipation channels, is solved analytically in steady state through a perturbative approach, and the results are compared to exact numerical simulations. The degree of second-order coherence displays values between 000 and 111, and divides the diagram identified by the two energy scales of the system---the tunneling and the nonlinear Kerr interaction---into two distinct regions separated by a crossover. When the tunneling term dominates over the nonlinear one, the system state is delocalized over both cavities, and the emitted light is coherent. In the opposite limit, photon blockade sets in, and the system shows an insulatorlike state with photons locked on each cavity, identified by antibunching of emitted light.
We examine quantum statistics of optical photons emitted from atomic ensembles which are classically driven and simultaneously coupled to a two-level atom via microwave photon exchange. Quantum statistics and correlations are analyzed by calculating second-order coherence degree, von Neumann entropy, spin squeezing for multiparticle entanglement, as well as genuine two- and three-mode entanglement parameters for steady-state and nonequilibrium situations. Coherent transfer of population between the radiation modes and quantum-state mapping between the two-level atom and the optical modes are discussed. A potential experimental realization of the theoretical results in a superconducting coplanar waveguide resonator containing diamond crystals with nitrogen-vacancy color centers and a superconducting artificial two-level atom is discussed.
We investigate two coupled nonlinear cavities that are coherently driven in a dissipative environment. We perform semiclassical, numerical, and analytical quantum studies of this dimer model when both cavities are symmetrically driven. In the semiclassical analysis, we find steady-state solutions with different photon occupations in two cavities. Such states can be considered analogs of the closed system double-well symmetry-breaking states. We analyze the occurrence and properties of these localized states in the system parameter space and examine how the symmetry-breaking states, in the form of a bistable pair, are associated with the single-cavity bistable behavior. In a full quantum calculation of the master equation dynamics that includes quantum fluctuations, the symmetry-breaking states and bistability disappear due to the quantum fluctuations. In the quantum trajectory picture, we observe enhanced quantum jumps and switching, which indicate the presence of the underlying semiclassical symmetry-breaking states. Finally, we present a set of analytical solutions for the steady-state correlation functions by using the complex PPP representation and discuss its regime of validity.
The photon blockade is a key quantum-nonlinear effect in which the admission of a second photon to a resonator is inhibited, enabling on-demand single-photon emission. Its practical use is limited by the weak intrinsic nonlinearity of most optical platforms. We address this limitation in a coupled-cavity architecture by engineering two-photon dissipation as a control resource rather than a detrimental loss. Within a quantum-master-equation framework, we model single-photon loss, engineered two-photon decay, and pure dephasing, and analyze their joint impact on the steady-state statistics of the driven cavities. We track the zero-delay correlation, photon populations, and detuning/drive dependences under distinct driving schemes (both cavities driven vs. single-cavity drive with. The results show that adding two-photon dissipation (i) suppresses multiphoton occupation and strengthens antibunching, (ii) broadens the operating window in detuning and drive amplitude, and (iii) improves robustness against moderate dephasing and device imperfections. A mechanism analysis attributes these gains to interference between coherent second-order processes and dissipative selection that stabilizes the odd-photon manifold. The study yields design guidelines for realizing stable, cavity-based single-photon sources using dissipation engineering.
Quantum optomechanical systems enable versatile control of non-classical light. We study two-mode squeezed-light generation in a driven optomechanical cavity with parametrically amplified optical modes coupled to mechanical resonator. Coherent driving reveals a rich control landscape where parametric nonlinearity, optomechanical coupling, and reservoir interactions jointly tailor quantum correlations-including two-mode squeezing, entanglement, steering, and discord. Remarkably, mechanical oscillators not only mediate optical entanglement but also act as a squeezing resource, enabling enhancement or suppression of quantum correlations via parameter tuning. We derive steady-state second-order moments and closed-form covariance matrix expressions, quantifying entanglement via logarithmic negativity, steering via Reid criterion, and discord via von Neumann entropy, providing a comprehensive framework for optimized generation of quantum correlations in hybrid quantum systems.