General Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space

Abstract

In a recent paper [Nieto M M 1996 Quantum and Semiclassical Optics, 8 1061; quant-ph/9605032], the one dimensional squeezed and harmonic oscillator time-displacement operators were reordered in coordinate-momentum space. In this paper, we give a general approach for reordering multi-dimensional exponential quadratic operator(EQO) in coordinate-momentum space. An explicit computational formula is provided and applied to the single mode and double-mode EQO through the squeezed operator and the time displacement operator of the harmonic oscillator.

To appear in J. Phys. A: Mathematics and General

References in corpus (2)

• Analytic Description of the Motion of a Trapped Ion in an Even or Odd Squeezed State
• Functional Forms for the Squeeze and the Time-Displacement Operators

Cited by in corpus (5)

• Detecting the inseparability and distillability of continuous variable states in Fock space
• On Bures fidelity of displaced squeezed thermal states
• High-Temperature Expansions of Bures and Fisher Information Priors
• Counting statistics of energy transport across squeezed thermal reservoirs
• Enhanced squeezing with parity kicks