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Open Quantum Systems Decoherence Quantum Simulation

Regular phase operator and SU(1,1) coherent states of the harmonic oscillator

arXiv
Authors: Sandor Varro

Year

2014

Paper ID

45995

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

A new solution is proposed to the long-standing problem of describing the quantum phase of a harmonic oscillator. In terms of an'exponential phase operator', defined by a new 'polar decomposition' of the quantized amplitude of the oscillator, a regular phase operator is constructed in the Hilbert-Fock space as a strongly convergent power series. It is shown that the eigenstates of the new 'exponential operators are SU(1,1) coherent states in the Holstein-Primakoff realization. In terms of these eigenstates, the diagonal representation of phase densities and a generalized spectal resolution of the regular phase operator are derived, which suit very well to our intuitive pictures on classical phase-related quantities

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • A new solution is proposed to the long-standing problem of describing the quantum phase of a harmonic oscillator.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1412.3218 [2] arXiv https://arxiv.org/abs/1412.3218 [3] Publisher https://arxiv.org/abs/1412.3218

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