Geometric phase corrected by initial system-environment correlations

Sharoon Austin, Sheraz Zahid, and Adam Zaman Chaudhry
Phys. Rev. A 101, 022114 – Published 25 February 2020

Abstract

We find the geometric phase of a two-level system undergoing pure dephasing via interaction with an arbitrary environment, taking into account the effect of the initial system-environment correlations. We use our formalism to calculate the geometric phase for the two-level system in the presence of both harmonic-oscillator and spin environments, and we consider the initial state of the two-level system to be prepared by a projective measurement or a unitary operation. The geometric phase is evaluated for a variety of parameters such as the system-environment coupling strength to show that the initial correlations can affect the geometric phase very significantly even for weak and moderate system-environment coupling strengths. Moreover, the correction to the geometric phase due to the system-environment coupling generally becomes smaller (and can even be zero) if initial system-environment correlations are taken into account, thus implying that the system-environment correlations can increase the robustness of the geometric phase.

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  • Received 2 September 2019
  • Revised 17 December 2019
  • Accepted 4 February 2020

DOI:https://doi.org/10.1103/PhysRevA.101.022114

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalQuantum Information, Science & Technology

Authors & Affiliations

Sharoon Austin, Sheraz Zahid, and Adam Zaman Chaudhry*

  • School of Science & Engineering, Lahore University of Management Sciences (LUMS), Opposite Sector U, D.H.A, Lahore 54792, Pakistan

  • *adam.zaman@lums.edu.pk

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Vol. 101, Iss. 2 — February 2020

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