Squeezing and Entanglement of two-modes Quantum $\mathrm{X}$ Waves

• URL: http://arxiv.org/abs/2008.10630v1
• Date: Mon, 24 Aug 2020 18:04:26 GMT
• Title: Squeezing and Entanglement of two-modes Quantum $\mathrm{X}$ Waves
• Authors: Ali Saif M. Hassan, Waleed S. A. Hasan, M. A. Shukri
• Abstract summary: quantum theory of generalized $mathrmX$ waves with orbital angular momentum in dispersive media were studied. We present a kind of phase matching, which is called velocity phase matching, and this phase matching can be used for determining the length of the nonlinear crystal.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: quantum theory of generalized $\mathrm{X}$ waves with orbital angular momentum in dispersive media, and the interaction of quantized $\mathrm{X}$ waves in quadratic nonlinear media were studied in (J. opt,20,065201(2018)). We present a kind of phase matching, which is called velocity phase matching, and this phase matching can be used for determining the length of the nonlinear crystal or the interaction time in the experiment setup, to produce $\mathrm{X}$ waves with particular velocity $v$. Moreover, we introduce more analysis for the dependence of squeezing of $\mathrm{X}$ waves on its spectral order, and for spectral orders $j>0$, we predict the existence of a characteristic axicon aperture for maximal squeezing. Then we find the quantum squeezed state of down-converted state generated by the $\chi^{2}$-nonlinear process. Finally, we detect their entanglement using a criterion of separability.

Related papers

• Slow Mixing of Quantum Gibbs Samplers [47.373245682678515]
  We present a quantum generalization of these tools through a generic bottleneck lemma. This lemma focuses on quantum measures of distance, analogous to the classical Hamming distance but rooted in uniquely quantum principles. Even with sublinear barriers, we use Feynman-Kac techniques to lift classical to quantum ones establishing tight lower bound $T_mathrmmix = 2Omega(nalpha)$.
  arXiv  Detail & Related papers  (2024-11-06T22:51:27Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model [44.84660857803376]
  We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
  arXiv  Detail & Related papers  (2024-01-09T20:37:48Z)
• Quantum propagator for a general time-dependent quadratic Hamiltonian: Application to interacting oscillators in external fields [0.0]
  We find the quantum propagator for a general time-dependent quadratic Hamiltonian. The state and excitation propagation along the harmonic chain in the absence and presence of an external classical source is studied and discussed.
  arXiv  Detail & Related papers  (2023-05-30T14:17:04Z)
• Double-scale theory [77.34726150561087]
  We present a new interpretation of quantum mechanics, called the double-scale theory. It is based on the simultaneous existence of two wave functions in the laboratory reference frame. The external wave function corresponds to a field that pilots the center-of-mass of the quantum system. The internal wave function corresponds to the interpretation proposed by Edwin Schr"odinger.
  arXiv  Detail & Related papers  (2023-05-29T14:28:31Z)
• One-dimensional pseudoharmonic oscillator: classical remarks and quantum-information theory [0.0]
  Motion of a potential that is a combination of positive quadratic and inverse quadratic functions of the position is considered. The dependence on the particle energy and the factor $mathfraka$ describing a relative strength of its constituents is described.
  arXiv  Detail & Related papers  (2023-04-13T11:50:51Z)
• Analyticity constraints bound the decay of the spectral form factor [0.0]
  Quantum chaos cannot develop faster than $lambda leq 2 pi/(hbar beta)$ for systems in thermal equilibrium. We show that similar constraints also bound the decay of the spectral form factor (SFF) The relation of the derived bound with other known bounds, including quantum speed limits, is discussed.
  arXiv  Detail & Related papers  (2022-02-23T19:00:00Z)
• Quantum dynamics and relaxation in comb turbulent diffusion [91.3755431537592]
  Continuous time quantum walks in the form of quantum counterparts of turbulent diffusion in comb geometry are considered. Operators of the form $hatcal H=hatA+ihatB$ are described. Rigorous analytical analysis is performed for both wave and Green's functions.
  arXiv  Detail & Related papers  (2020-10-13T15:50:49Z)
• Work statistics in the periodically driven quartic oscillator: classical versus quantum dynamics [0.0]
  We study an anharmonic oscillator driven by a periodic external force with slowly varying amplitude both classically and within the framework of quantum mechanics. For both classical and quantum case we provide an intuitive explanation for the periodic variation of $P(E_f|E_i)$ with the maximal amplitude.
  arXiv  Detail & Related papers  (2020-04-22T10:31:29Z)
• Resilience of the superradiant phase against $\mathbf {A^2}$ effects in the quantum Rabi dimer [0.0]
  We study the quantum criticality of a two-site model combining quantum Rabi models with hopping interaction. We find that the model allows the appearance of a superradiant quantum phase transition (QPT) even in the presence of strong $mathbfA2$ terms. Our work provides a way to the study of phase transitions in presence of the $mathbfA2$ terms and offers the prospect of investigating quantum-criticality physics and quantum devices in many-body systems.
  arXiv  Detail & Related papers  (2020-03-03T04:14:13Z)
• External and internal wave functions: de Broglie's double-solution theory? [77.34726150561087]
  We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions. For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
  arXiv  Detail & Related papers  (2020-01-13T13:41:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.