Photon-added BarutGirardello like coherent states of time-dependent Landau problem

• URL: http://arxiv.org/abs/2101.02462v1
• Date: Thu, 7 Jan 2021 10:06:43 GMT
• Title: Photon-added BarutGirardello like coherent states of time-dependent Landau problem
• Authors: Lat\'evi Mohamed Lawson, Komi Sodoga and Gabriel Y. H. Avossevou
• Abstract summary: We study the time-dependent Landau problem into the context of coherent states. We construct coherent states a la Barut-Girardello. We find that these states are sub-Poissonian in nature.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Recently, we have determined the spectrum and the wave functions of the Hamiltonian of a Landau particle with time-dependent mass and frequency undergoing the influence of a uniform time-dependent electric field[J. Math. Phys. 56, 072104 (2018)]. In the present paper we extend the study of this model that we name the time-dependent Landau problem into the context of coherent states. By means of the traditional factorization method of the eigenfunctions of this system expressed in terms of the generalized Laguerre polynomials, we derive the generators of the su(1,1) Lie algebra and we construct the coherent states a la Barut-Girardello. These states are shown to satisfy the Klauder's mathematical requirement to build coherent states and some of their statistical properties are calculated and analyzed. We find that these states are sub-Poissonian in nature. We show that, addition of photons from these coherent states, increases the statistical properties and changes the mathematical properties of these states.

Related papers

• Spatiotemporal effects in heralded state preparation [0.0]
  General expressions are derived for single-photo-subn-tracted and single-photo-n-added states. The Wigner functional approach reveals the importance of thetemporal transformations imposed by the experimental conditions.
  arXiv  Detail & Related papers  (2024-04-08T07:08:10Z)
• Full Counting Statistics of Charge in Quenched Quantum Gases [0.0]
  We study the full counting statistics of particle number in one dimensional interacting Bose and Fermi gases. We show that the scaled cumulants of the charge in the initial state and at long times are simply related.
  arXiv  Detail & Related papers  (2023-12-05T18:00:36Z)
• Looking for Carroll particles in two time spacetime [55.2480439325792]
  Carroll particles with a non-vanishing value of energy are described in the framework of two time physics. We construct the quantum theory of such a particle using an unexpected correspondence between our parametrization and that obtained by Bars for the hydrogen atom in 1999.
  arXiv  Detail & Related papers  (2023-10-29T15:51:41Z)
• Entanglement entropy in conformal quantum mechanics [68.8204255655161]
  We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain. States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.
  arXiv  Detail & Related papers  (2023-06-21T14:21:23Z)
• Quantization and coherent states for a time-dependent Landau problem [0.0]
  The spectrum of a Hamiltonian describing this system is obtained. We construct the coresponding coherent states and the associated photon added and nonlinear coherent states.
  arXiv  Detail & Related papers  (2021-11-09T14:22:11Z)
• Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices [0.0]
  Dirac fermions in graphene may experiment dispersive pseudo-Landau levels due to a homogeneous pseudomagnetic field and a position-dependent Fermi velocity induced by strain. We use a Landau-like gauge to built Perelomov coherent states by the action of a non-unitary displacement operator $D(alpha)$ on the fundamental state of the system.
  arXiv  Detail & Related papers  (2021-07-18T16:46:17Z)
• Interplay between transport and quantum coherences in free fermionic systems [58.720142291102135]
  We study the quench dynamics in free fermionic systems. In particular, we identify a function, that we dub emphtransition map, which takes the value of the stationary current as input and gives the value of correlation as output.
  arXiv  Detail & Related papers  (2021-03-24T17:47:53Z)
• The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
  It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
  arXiv  Detail & Related papers  (2021-01-04T16:09:10Z)
• Time dependent rationally extended Poschl-Teller potential and some of its properties [0.0]
  We use separation of variable technique to construct time dependent rationally extended Poschl-Teller potential. We have obtained exact solutions of the Schrodinger equation with the above mentioned potentials subjected to some boundary conditions of the oscillating type.
  arXiv  Detail & Related papers  (2020-09-27T14:11:11Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)
• From communication complexity to an entanglement spread area law in the ground state of gapped local Hamiltonians [16.951941479979716]
  We make a connection between two seemingly different problems. The first problem involves characterizing the properties of entanglement in the ground state of gapped local Hamiltonians. The second problem is on the quantum communication complexity of testing bipartite states with EPR assistance.
  arXiv  Detail & Related papers  (2020-04-30T17:54:22Z)

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.