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

Journal of Physics A Mathematical and Theoretical

On the Penning trap coherent states

Michael Genkin, Eva Lindroth

Published Jun 15, 2009• 8 citations
Publisher

Abstract

Recently, a class of coherent states of a particle in a Penning trap was derived by Fernández and Velázquez ( 2009 J. Phys. A: Math. Theor. 42 085304 ). By means of the Wigner function and density matrix associated with these states, we show that they are fully consistent with Morikawa's definition of the decoherence degree and hence they provide a possibility to directly access the decoherence process in a Penning trap.

DOI
10.1088/1751-8113/42/27/275305

Related papers

Coherent states approach to Penning trap

David J Fernández, Mercedes Velázquez

By using a matrix technique, which allows to identify directly the ladder operators, the Penning trap coherent states are derived as eigenstates of the appropriate annihilation operators. These states are compared with the ones obtained through the displacement operator. The associated wave functions and mean values for some relevant operators in these states are also evaluated. It turns out that the Penning trap coherent states minimize the Heisenberg uncertainty relation.

arXiv:0809.1684•Journal of Physics A Mathematical and Theoretical•Feb 2, 2009•16 citations

Asymmetric Penning trap coherent states

Alonso Contreras-Astorga, David J. Fernández C., Hugo Aurelio Morales-Técotl +3 more

By using a matrix technique, which allows to identify directly the ladder operators, the coherent states of the asymmetric Penning trap are derived as eigenstates of the appropriate annihilation operators. They are compared with those obtained through the displacement operator method.

AIP conference proceedings•Jan 1, 2010•0 citations

Coherent states for quadratic Hamiltonians

Alonso Contreras-Astorga, David J. Fernández C., Mercedes Velázquez

The coherent states for a set of quadratic Hamiltonians in the trap regime are constructed. A matrix technique which allows us to directly identify the creation and annihilation operators will be presented. Then, the coherent states as simultaneous eigenstates of the annihilation operators will be derived, and will be compared with those attained through the displacement operator method. The corresponding wavefunction will be found, and a general procedure for obtaining several mean values involving the canonical operators in these states will be described. The results will be illustrated through the asymmetric Penning trap.

arXiv:1009.2564•Journal of Physics A Mathematical and Theoretical•Dec 16, 2010•8 citations

Comment on “Generation of a superposition of coherent states in a resonant cavity and its nonclassicality and decoherence”

Gang Ren

Arpita Ghosh and P.K. Das (Can. J. Phys. 86: 811 (2008) doi:10.1139/p08-013 ) derived an analytic expression for the Wigner function of a superposition of coherent state. We point out the incorrectness of this result.

Canadian Journal of Physics•Sep 29, 2014•0 citations

Decoherence rates for Galilean covariant dynamics

Jeremy Clark

We introduce a measure of decoherence for a class of density operators. For Gaussian density operators in dimension one, it coincides with an index used by Morikawa [“Quantum decoherence and classical correlation in quantum mechanics,” Phys. Rev. D 42, 2929–2931 (1990)]. Spatial decoherence rates are derived for three large classes of the Galilean covariant quantum semigroups introduced by Holevo [“On conservativity of covariant dynamical semigroups,” Rep. Math. Phys. 33, 95–110 (1993)]. We also characterize the relaxation to a Gaussian state for these dynamics and give a theorem for the convergence of the Wigner function to the probability distribution of the classical analog of the process.

arXiv:0710.1344•Journal of Mathematical Physics•May 1, 2008•2 citations

Oscillator-like coherent states for the Jaynes-Cummings Model

Yves Bérubé-Lauzière, Véronique Hussin, Michael Martin Nieto

A new way of diagonalizing the Jaynes-Cummings Hamiltonian is proposed, which allows the definition of annihilation operators and coherent states for this model. Mean values and dispersions over these states are computed and interpreted.

•Jan 1, 1995•0 citations
Recently, a class of coherent states of a particle in a Penning trap was derived by Fernández and Velázquez ( 2009 J. Phys. A: Math. Theor. 42 085304 ). By means of the Wigner function and density matrix associated with these states, we show that they are fully consistent with Morikawa's definition of the decoherence degree and hence they provide a possibility to directly access the decoherence process in a Penning trap.
The coherent states for a set of quadratic Hamiltonians in the trap regime are constructed. A matrix technique which allows us to directly identify the creation and annihilation operators will be presented. Then, the coherent states as simultaneous eigenstates of the annihilation operators will be derived, and will be compared with those attained through the displacement operator method. The corresponding wavefunction will be found, and a general procedure for obtaining several mean values involving the canonical operators in these states will be described. The results will be illustrated through the asymmetric Penning trap.
We introduce a measure of decoherence for a class of density operators. For Gaussian density operators in dimension one, it coincides with an index used by Morikawa [“Quantum decoherence and classical correlation in quantum mechanics,” Phys. Rev. D 42, 2929–2931 (1990)]. Spatial decoherence rates are derived for three large classes of the Galilean covariant quantum semigroups introduced by Holevo [“On conservativity of covariant dynamical semigroups,” Rep. Math. Phys. 33, 95–110 (1993)]. We also characterize the relaxation to a Gaussian state for these dynamics and give a theorem for the convergence of the Wigner function to the probability distribution of the classical analog of the process.