Photon-added and photon-subtracted coherent states on a sphere

Mahdifar, Ali; Amooghorban, Ehsan; Jafari, Maryam

doi:10.1063/1.5031036

Cited by 2 publications

(3 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Daoud extended this construction for exactly solvable Hamiltonian on Gazeau-Klauder and Klauder-Perelomov coherent states [36]. Recently, the mathematical and statistical properties of PACSs are studied for the SU (2) coherent states [22,37]. We extend these results into our recently model studied in [1] namely the time-dependent Landau problem (TDLP).…”

Section: Introductionmentioning

confidence: 91%

“…On the other hand, the addition of photons from the coherent states previously introduced by Glauber were objects of extensive studies both in experimental [18,19,20] and theoretical [21,22,23] frameworks. These states originally introduced by Agarwal and Tara [24,25] have received much attention from quantum optics and information [26,27,28] for their statistical properties such as the photon-number distribution, the Mandel parameter, the squeezing parameter, the Wigner function etc.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Lawson¹,

Sodoga²,

Avossevou³

2021

Preprint

View full text Add to dashboard Cite

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 à 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.

show abstract

Section: Introductionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

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

Lawson¹,

Sodoga²,

Avossevou³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…where |α is a coherent state [32][33][34][35][36]. We denote by C the set of quantum states obtained from any coherent state via rigid translations by a finite amount together with arbitrary phase shifts in energy.…”

Section: Superposition Of Classical Processes In a Semi-classical Regimementioning

confidence: 99%

Decomposable coherence and quantum fluctuation relations

Mingo

Jennings

2019

Quantum

View full text Add to dashboard Cite

In Newtonian mechanics, any closed-system dynamics of a composite system in a microstate will leave all its individual subsystems in distinct microstates, however this fails dramatically in quantum mechanics due to the existence of quantum entanglement. Here we introduce the notion of a `coherent work process', and show that it is the direct extension of a work process in classical mechanics into quantum theory. This leads to the notion of `decomposable' and `non-decomposable' quantum coherence and gives a new perspective on recent results in the theory of asymmetry as well as early analysis in the theory of classical random variables. Within the context of recent fluctuation relations, originally framed in terms of quantum channels, we show that coherent work processes play the same role as their classical counterparts, and so provide a simple physical primitive for quantum coherence in such systems. We also introduce a pure state effective potential as a tool with which to analyze the coherent component of these fluctuation relations, and which leads to a notion of temperature-dependent mean coherence, provides connections with multi-partite entanglement, and gives a hierarchy of quantum corrections to the classical Crooks relation in powers of inverse temperature.

show abstract

Photon-added and photon-subtracted coherent states on a sphere

Cited by 2 publications

References 37 publications

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

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

Decomposable coherence and quantum fluctuation relations

Contact Info

Product

Resources

About