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Projection-based adiabatic elimination of bipartite open quantum systems

Saideh, Ibrahim ; Finkelstein-Shapiro, Daniel LU ; Noûs, Camille ; Pullerits, Tõnu LU and Keller, Arne (2020) In Physical Review A 102(3).
Abstract

Adiabatic elimination methods allow the reduction of the space dimension needed to describe systems whose dynamics exhibit separation of timescale. For open quantum systems, it consists in eliminating the fast part assuming it has almost instantaneously reached its steady state and obtaining an approximation of the evolution of the slow part. These methods can be applied to eliminate a linear subspace within the system Hilbert space or, alternatively, to eliminate a fast subsystem in a bipartite quantum system. In this work, we extend an adiabatic elimination method used for removing fast degrees of freedom within a system [Phys. Rev. A 101, 042102 (2020)2469-992610.1103/PhysRevA.101.042102] to eliminate a subsystem from an open... (More)

Adiabatic elimination methods allow the reduction of the space dimension needed to describe systems whose dynamics exhibit separation of timescale. For open quantum systems, it consists in eliminating the fast part assuming it has almost instantaneously reached its steady state and obtaining an approximation of the evolution of the slow part. These methods can be applied to eliminate a linear subspace within the system Hilbert space or, alternatively, to eliminate a fast subsystem in a bipartite quantum system. In this work, we extend an adiabatic elimination method used for removing fast degrees of freedom within a system [Phys. Rev. A 101, 042102 (2020)2469-992610.1103/PhysRevA.101.042102] to eliminate a subsystem from an open bipartite quantum system. As an illustration, we apply our technique to a dispersively coupled two-qubit system and in the case of the open Rabi model.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A
volume
102
issue
3
article number
032212
publisher
American Physical Society
external identifiers
  • scopus:85092583343
ISSN
2469-9926
DOI
10.1103/PhysRevA.102.032212
language
English
LU publication?
yes
id
6c3c46be-d08b-469f-be88-90480a6aba93
date added to LUP
2020-11-10 10:54:11
date last changed
2023-11-20 15:33:14
@article{6c3c46be-d08b-469f-be88-90480a6aba93,
  abstract     = {{<p>Adiabatic elimination methods allow the reduction of the space dimension needed to describe systems whose dynamics exhibit separation of timescale. For open quantum systems, it consists in eliminating the fast part assuming it has almost instantaneously reached its steady state and obtaining an approximation of the evolution of the slow part. These methods can be applied to eliminate a linear subspace within the system Hilbert space or, alternatively, to eliminate a fast subsystem in a bipartite quantum system. In this work, we extend an adiabatic elimination method used for removing fast degrees of freedom within a system [Phys. Rev. A 101, 042102 (2020)2469-992610.1103/PhysRevA.101.042102] to eliminate a subsystem from an open bipartite quantum system. As an illustration, we apply our technique to a dispersively coupled two-qubit system and in the case of the open Rabi model.</p>}},
  author       = {{Saideh, Ibrahim and Finkelstein-Shapiro, Daniel and Noûs, Camille and Pullerits, Tõnu and Keller, Arne}},
  issn         = {{2469-9926}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review A}},
  title        = {{Projection-based adiabatic elimination of bipartite open quantum systems}},
  url          = {{http://dx.doi.org/10.1103/PhysRevA.102.032212}},
  doi          = {{10.1103/PhysRevA.102.032212}},
  volume       = {{102}},
  year         = {{2020}},
}