Article
Physics, Multidisciplinary
Evaldo M. F. Curado, Sofiane Faci, Jean-Pierre Gazeau, Diego Noguera
Summary: This study examines the conditions for state discrimination using squeezed coherent states and compares them with the conditions using standard coherent states. The minimum bound for quantum error probability, known as the Helstrom bound, is also considered.
Article
Optics
P. Neveu, J. Delpy, S. Liu, C. Banerjee, J. Lugani, F. Bretenaker, E. Brion, F. Goldfarb
Summary: A study demonstrated the generation of squeezed vacuum states of light using four wave mixing at room temperature, working at resonance with an atomic transition. Investigation into the properties of these states showed that the noise variances of the squeezed and anti-squeezed quadratures cannot be explained solely by losses. A theoretical model incorporating residual absorption and spontaneous emission provided an excellent agreement with experimental data without any adjusted parameter.
Article
Optics
George Mouloudakis, Peter Lambropoulos
Summary: In this work, a ?-type three-level system is considered, with the first transition driven by a radiation field initially prepared in a squeezed coherent state, and the second transition by a weak probe field. The splitting profile is shown to be greatly sensitive to the value of the squeezing parameter and its phase difference from the complex displacement parameter. The theory is based on the resolvent operator, with both the atom and the radiation field treated quantum mechanically, and the effects of squeezing obtained through appropriate averaging over the photon number distribution of the squeezed coherent state.
Article
Physics, Multidisciplinary
Lamine Elaihar, Walid Koussa, Yacine Bouguerra, Mustapha Maamache
Summary: The paper introduces a new pseudo-squeezed bosonic ladder operator and obtains pseudo-bosonic squeezed coherent states through squeezed transformation. It investigates the time-dependent non-Hermitian displaced harmonic oscillator and analyzes the properties of these states in terms of position localization and uncertainty principle.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Bing-Sheng Lin, Tai-Hua Heng
Summary: In this study, we explore the Connes spectral distance of quantum states and the nonlocality of a 4D generalized noncommutative phase space. By constructing a spectral triple and calculating the spectral distances, we find that the distances between Fock states in the generalized noncommutative phase space are shorter, indicating the presence of nonlocality caused by noncommutativity.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Physics, Multidisciplinary
P. Patra, J. P. Saha, K. Biswas
Summary: This study explores the relationship between classical and quantum domain descriptions through quantum gravitational well in noncommutative space to verify the effectiveness of free fall under gravity in the quantum domain.
INDIAN JOURNAL OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
K. Zelaya, V Hussin, O. Rosas-Ortiz
Summary: A new class of states of light has been introduced, which are complementary to the well-known squeezed states. These new squeezed states are linear superpositions of photon-number states, with coefficients determined by associated Hermite polynomials. It has been shown that these states include superpositions characterized by only odd-photon number states, in contrast to the usual squeezed-vacuum state consisting entirely of even-photon number states.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Quantum Science & Technology
Wei Ye, Ying Guo, Huan Zhang, Shoukang Chang, Ying Xia, Sha Xiong, Liyun Hu
Summary: We propose a theoretical scheme for generating a novel kind of non-Gaussian state by using coherent superposition of photon subtraction and addition on each mode of an input two-mode squeezed coherent state. The simulation results showed that the increase in coherent amplitudes of the CS-based TMSC is beneficial for improving the nonclassicality compared to the TMSC case. We also analyze the entanglement of the proposed CS-based TMSC and its applications in quantum teleportation. The proposed state demonstrates distinct advantages over other non-Gaussian states in terms of optimal entanglement and fidelity at small-initial squeezing ranges.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Physics, Multidisciplinary
A. S. Pereira, A. S. Lemos
Summary: In this study, the integrals of motion method was applied in a nonunitary approach to obtain the time-dependent displacement and squeezed parameters of coherent squeezed states (CSS). CSS for one-dimensional systems with general time-dependent quadratic Hamiltonian were constructed and their properties, including minimization of uncertainty relation and transition probabilities, were discussed. An application to calculate the CSS of an oscillator with a time-dependent frequency was presented, showing that the solution can be derived from well-known Mathieu's equation.
Article
Optics
Youke Xu, Shoukang Chang, Cunjin Liu, Liyun Hu, Sanqiu Liu
Summary: The phase sensitivity of the SU(1,1) interferometer was investigated, showing that the coefficient of coherent superposition can modulate performance, especially in small squeezing regions. Photon addition demonstrated the best robustness among non-Gaussian operations. For small squeezing, the first-order non-Gaussian operation may be the most preferred choice.
Article
Physics, Multidisciplinary
Alexandre Belsley
Summary: Absorption spectroscopy is a widely used technique for detecting and characterizing gas species at low concentrations. Our proposed sensing strategy combines the advantages of frequency modulation spectroscopy with the reduced noise properties achieved by squeezing the probe state. By using a homodyne detection scheme, we can simultaneously measure absorption at multiple frequencies and mitigate dispersion effects. We predict a significant enhancement in the signal-to-noise ratio that exponentially scales with the squeezing factor, allowing for high precision gas sensing beyond the standard quantum limit.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Ivan Derkach, Vladyslav C. Usenko
Summary: The study shows that achieving quantum key distribution over satellite channels requires stable setup and reduction of noise and loss, with the key extraction method significantly affecting protocol robustness. Optimized signal squeezing can substantially improve protocol applicability, reducing system clock rates and aperture sizes compared to coherent-state protocols.
Article
Physics, Multidisciplinary
Nezihe Uzun
Summary: The hydrodynamic interpretation of quantum mechanics is used to study squeezed coherent states by deriving phase space distribution, decomposing joint distribution, and tracking classical system evolution. The probability distributions satisfy Fokker-Planck equations and can be used to decompose equilibrium entropy. Quantum temperature, pressure, and internal energy are defined and a quantum conditional virial relation is suggested.
Article
Optics
A. Dehghani, B. Mojaveri, A. A. Alenabi
Summary: In this study, a new class of two-mode entangled nonlinear coherent-squeezed states (ENCSS) is proposed by substituting standard coherent states with nonlinear coherent states. Different types of non-linearity functions are employed to investigate the effectiveness of non-linearization of the ECSS. A general analysis of non-classical properties is presented and the entanglement of these states is discussed.
APPLIED PHYSICS B-LASERS AND OPTICS
(2022)
Article
Optics
Chao Jiang, Gentaro Watanabe
Summary: In this study, we propose a new scheme to generate a pure ideal quadrature-squeezed state in a one-dimensional harmonic oscillator system by measuring noncommutative quadrature observables. By appropriately setting the strengths of measurement and feedback control, the pure ideal quadrature-squeezed state with arbitrary squeezedness can be produced.
Article
Physics, Mathematical
Andreas Fring, Samuel Whittington
LETTERS IN MATHEMATICAL PHYSICS
(2020)
Article
Physics, Multidisciplinary
Andreas Fring, Rebecca Tenney
EUROPEAN PHYSICAL JOURNAL PLUS
(2020)
Article
Astronomy & Astrophysics
Behnam Pourhassan, Sanjib Dey, Sumeet Chougule, Mir Faizal
CLASSICAL AND QUANTUM GRAVITY
(2020)
Article
Astronomy & Astrophysics
Behnam Pourhassan, Mohsen Dehghani, Mir Faizal, Sanjib Dey
Summary: This study investigates the non-perturbative quantum corrections to a Born-Infeld black hole in a spherical cavity, which result in a non-trivial modification to the relation between entropy and area of the black hole, appearing as an exponential term in the black hole entropy. These corrections alter the thermodynamics of the system by reducing the Helmholtz free energy, and also modify the first law of black hole thermodynamics. The effect of these corrections on the information geometry of the system is also explored using well-known information metrics.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Physics, Multidisciplinary
Andreas Fring, Rebecca Tenney
Summary: The study proposes a perturbative method to determine the time-dependent Dyson map and metric operator associated with time-dependent non-Hermitian Hamiltonians. By applying the method to different systems, it demonstrates a recursive constructive approach to solving coupled differential equations and reveals a set of inequivalent solutions for the Dyson maps and metric operators, leading to different physical behavior.
Review
Physics, Mathematical
Andreas Fring, Samuel Whittington
Summary: This study proposes construction principles for new classes of Toda field theories based on root systems defined on Lorentzian lattices. The Painleve integrability test reveals that most of these Lorentzian Toda field theories are not integrable, with only one integer valued resonance found. The classical mass spectra of several massive variants are analyzed in detail, showing that Lorentzian Toda field theories can be viewed as perturbed versions of integrable theories with an algebraic framework.
REVIEWS IN MATHEMATICAL PHYSICS
(2021)
Article
Multidisciplinary Sciences
Vikash Mittal, Aswathy Raj, Sanjib Dey, Sandeep K. Goyal
Summary: The research shows that the topological phases of quantum walks remain relatively robust even in a lossy environment. In one-dimensional split-step quantum walks, the topological order persists as long as the Hamiltonian maintains exact PT-symmetry, while in two-dimensional quantum walks, PT-symmetry plays no role and losses may induce a topological phase transition.
SCIENTIFIC REPORTS
(2021)
Article
Physics, Multidisciplinary
Andreas Fring, Rebecca Tenney
Summary: Complex point transformations can be used to construct non-Hermitian first integrals, time-dependent Dyson maps and metric operators for non-Hermitian quantum systems. By applying the point transformation to the system, solutions to the corresponding equations can be obtained.
Article
Astronomy & Astrophysics
Ankur, Sanjib Dey
Summary: We have studied charged BTZ black holes in noncommutative spaces using two independent approaches. The first approach revealed the existence of non-static and non-stationary black holes, while the second approach provided stability and physical viability by introducing proper restrictions on the noncommutative parameter. The thermodynamics of the black holes from both approaches were analyzed using a contemporary tunneling formalism.
Article
Physics, Multidisciplinary
Andreas Fring, Rebecca Tenney
Summary: The study suggests a scheme that leads to an infinite series of time-dependent Dyson maps, which associate different Hermitian Hamiltonians with a uniquely specified time-dependent non-Hermitian Hamiltonian. Through identifying the underlying symmetries and utilizing Lewis-Riesenfeld invariants, the explicit construction of the Dyson maps and metric operators is facilitated. A specific example of a two-dimensional system of oscillators coupled in a non-Hermitian PT-symmetrical fashion is presented to illustrate the scheme.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Julia Cen, Francisco Correa, Andreas Fring, Takano Taira
Summary: This article investigates the stability of different types of soliton solutions in nonlocal integrable systems, and discovers various scenarios and phenomena.
Article
Physics, Multidisciplinary
Andreas Fring, Takanobu Taira
Summary: We investigate the Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism in non-Hermitian field theories with local non-Abelian gauge symmetry in different regions of their parameter spaces. We find that the mechanism remains synchronized in all regimes characterized by a modified CPT symmetry, giving mass to gauge vector bosons while preventing the existence of massless Goldstone bosons. However, at the zero exceptional points, where the eigenvalues of the mass squared matrix vanish, the mechanism breaks down as the Goldstone bosons cannot be identified and the gauge vector bosons remain massless.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Physics, Multidisciplinary
Andreas Fring, Takanobu Taira, Rebecca Tenney
Summary: This paper introduces time-dependent C(t)-operators and investigates their properties in relation to Lewis-Riesenfeld invariants. The application of these concepts in a non-Hermitian two-level matrix Hamiltonian demonstrates their practical working nature.
Article
Physics, Mathematical
Andreas Fring, Rebecca Tenney
Summary: In this study, a new method is proposed to construct Lewis-Riesenfeld invariants for coupled oscillator systems using two-dimensional point transformations. The invariants are obtained by solving a set of coupled differential equations, and it is demonstrated that point transformations can also be used to construct time-dependent Dyson maps.
JOURNAL OF MATHEMATICAL PHYSICS
(2022)
Article
Physics, Multidisciplinary
Andreas Fring, Takanobu Taira, Rebecca Tenney
Summary: We demonstrate the reality of the instantaneous energies by showing the existence of a Hermitian time-dependent intertwining operator that maps the non-Hermitian time-dependent energy operator to its Hermitian conjugate. This property holds in all three PT-regimes, including the time-independent PT-symmetric regime, the exceptional point, and the spontaneously broken PT-regime. We also propose a modified adiabatic approximation using instantaneous eigenstates of the energy operator, which always leads to real Berry phases.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
