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quant-phAug 1, 2010
16
citations (OpenAlex)
authors
  • N. Zagury
  • A. Aragao
  • J. Casanova
  • E. Solano
institutions
  • Ikerbasque
  • Universidade Federal do Rio de Janeiro
  • University of the Basque Country
arXiv abstractPDF
paper

Unitary expansion of the time evolution operator

arXiv:1008.1985 · doi:10.1103/PhysRevA.82.042110

Abstract

We propose an expansion of the unitary evolution operator, associated to a given Schrödinger equation, in terms of a finite product of explicit unitary operators. In this manner, this unitary expansion can be truncated at the desired level of approximation, as shown in the given examples.

6 pages, 7 figures. Updated version, minor final changes

References in corpus (4)

  • Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
  • Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator
  • Higher Order Decompositions of Ordered Operator Exponentials
  • A new perturbative expansion of the time evolution operator associated with a quantum system

Cited by in corpus (7)

  • Vacuum enhanced charging of a quantum battery
  • Product Formulas for Exponentials of Commutators
  • New BCH-like relations of the su(1, 1), su(2) and so(2, 1) Lie algebras
  • Interaction-free evolution in the presence of time-dependent Hamiltonians
  • Dynamics of a particle confined in a two-dimensional dilating and deforming domain
  • Resonant transitions due to changing boundaries
  • Linear Optical Approach to Supersymmetric Dynamics
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