Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0405040 · Physical Review A

Effect of intersubsystem couplings on the evolution of composite systems

X. X. Yi, H. T. Cui, Y.H. Lin, H. S. Song

Published Feb 17, 2005• 6 citations
arXivHTMLPDF

Abstract

The effect of intersubsystem coupling on the adiabaticity of composite systems and that of its subsystems is investigated. Similar to the adiabatic evolution defined for pure states, nontransitional evolution for mixed states is introduced; conditions for the nontransitional evolution are derived and discussed. An example that describes two coupled qubits is presented to detail the general presentation. The effects due to nonadiabatic evolution on the geometric phase are also presented and discussed.

DOI
10.1103/physreva.71.022107

Related papers

Off-diagonal geometric phase in composite systems

X. X. Yi, Junli Chang

The effect of the intersubsystem coupling on the off-diagonal geometric phase in a composite system is investigated. We analyze the case where the system undergoes an adiabatic evolution. Two coupled qubits driven by time-dependent external magnetic fields are presented as an example; the off-diagonal geometric phase as well as the adiabatic condition are examined and discussed.

arXiv:quant-ph/0407231•Physical Review A•Jul 20, 2004•8 citations

Berry’s phase with quantized field driving: Effects of intersubsystem coupling

L. C. Wang, H. T. Cui, X. X. Yi

The effect of intersubsystem coupling on the Berry phase of a composite system as well as that of its subsystem is investigated. We analyze two coupled spin-$\frac{1}{2}$ systems with one driven by a quantized field as an example. The pure-state geometric phase of the composite system as well as the mixed-state geometric phase for the subsystem is calculated and discussed.

arXiv:quant-ph/0411186•Physical Review A•Nov 12, 2004•20 citations

The effect of intersubsystem coupling on the geometric phase in a composite system driven by decohering quantized fields

Jibing Liu, Jiahua Li, Wei Hua +2 more

We investigate the behaviour of the geometric phase of a bipartite system with intersubsystem coupling via a quantum jump approach, where one of the subsystems is driven by a one- or two-mode quantized field which is also subjected to decoherence. The results show that the first correction due to the decohering field is only quadratic in decaying rate λ when the evolution of the system is adiabatic, and the lowest order correction is related to the first order in λ when the evolution of the system is non-adiabatic. Moreover, an interesting interpretation of this phenomenon is given.

Journal of Physics B Atomic Molecular and Optical Physics•Feb 15, 2006•5 citations

Effect of intersubsystem coupling on the geometric phase in a bipartite system

X. X. Yi, Erik Sjöqvist

The influence of intersubsystem coupling on the cyclic adiabatic geometric phase in bipartite systems is investigated. We examine the geometric phase effects for two uniaxially coupled spin-$\frac{1}{2}$ particles, both driven by a slowly rotating magnetic field. It is demonstrated that the relation between the geometric phase and the solid angle enclosed by the magnetic field is broken by the spin-spin coupling, in particular leading to a quenching effect on the geometric phase in the strong coupling limit.

arXiv:quant-ph/0403231•Physical Review A•Oct 22, 2004•26 citations

Nonadiabatic Geometric Phase in Composite Systems and Its Subsystem

Xin Li

We point out that the time-dependent gauge transformation technique may be effective in investigating the nonadiabatic geometric phase of a subsystem in a composite system. As an example, we consider two uniaxially coupled spin —1/2 particles with one of particles driven by rotating magnetic Geld. The influences of coupling and precession frequency of the magnetic Geld on geometric phase are also discussed in detail.

Chinese Physics Letters•Oct 30, 2008•0 citations

Emergence of quantum-classical dynamics in an open quantum environment

Kazutomu Shiokawa, Raymond Kapral

The conditions under which an open quantum-mechanical system may be described by mixed quantum-classical dynamics are investigated. Decoherence is studied using influence functional methods in a model composite quantum system comprising two coupled systems, A and C, interacting with a harmonic bath with Ohmic and super-Ohmic spectral densities. Subsystem A is directly coupled to subsystem C, while C is coupled directly to the bath. Calculations are presented for a model where subsystem A is taken to be a two-level system which is bilinearly coupled to a single harmonic oscillator C subsystem. The loss of quantum coherence in each subsystem is discussed in the extreme nonadiabatic regime where the intrinsic dynamics of subsystem A is essentially frozen. Subsystem C is shown to lose its coherence rapidly, while subsystem A maintains coherence for longer time periods since C modulates the influence of the bath on A. Thus, one may identify situations where the coupled AC system evolution effectively obeys mixed quantum-classical dynamics.

arXiv:cond-mat/0204388•The Journal of Chemical Physics•Oct 17, 2002•29 citations
The effect of intersubsystem coupling on the adiabaticity of composite systems and that of its subsystems is investigated. Similar to the adiabatic evolution defined for pure states, nontransitional evolution for mixed states is introduced; conditions for the nontransitional evolution are derived and discussed. An example that describes two coupled qubits is presented to detail the general presentation. The effects due to nonadiabatic evolution on the geometric phase are also presented and discussed.
The effect of intersubsystem coupling on the Berry phase of a composite system as well as that of its subsystem is investigated. We analyze two coupled spin-12\frac{1}{2}21​ systems with one driven by a quantized field as an example. The pure-state geometric phase of the composite system as well as the mixed-state geometric phase for the subsystem is calculated and discussed.
We investigate the behaviour of the geometric phase of a bipartite system with intersubsystem coupling via a quantum jump approach, where one of the subsystems is driven by a one- or two-mode quantized field which is also subjected to decoherence. The results show that the first correction due to the decohering field is only quadratic in decaying rate λ when the evolution of the system is adiabatic, and the lowest order correction is related to the first order in λ when the evolution of the system is non-adiabatic. Moreover, an interesting interpretation of this phenomenon is given.
The influence of intersubsystem coupling on the cyclic adiabatic geometric phase in bipartite systems is investigated. We examine the geometric phase effects for two uniaxially coupled spin-12\frac{1}{2}21​ particles, both driven by a slowly rotating magnetic field. It is demonstrated that the relation between the geometric phase and the solid angle enclosed by the magnetic field is broken by the spin-spin coupling, in particular leading to a quenching effect on the geometric phase in the strong coupling limit.
The conditions under which an open quantum-mechanical system may be described by mixed quantum-classical dynamics are investigated. Decoherence is studied using influence functional methods in a model composite quantum system comprising two coupled systems, A and C, interacting with a harmonic bath with Ohmic and super-Ohmic spectral densities. Subsystem A is directly coupled to subsystem C, while C is coupled directly to the bath. Calculations are presented for a model where subsystem A is taken to be a two-level system which is bilinearly coupled to a single harmonic oscillator C subsystem. The loss of quantum coherence in each subsystem is discussed in the extreme nonadiabatic regime where the intrinsic dynamics of subsystem A is essentially frozen. Subsystem C is shown to lose its coherence rapidly, while subsystem A maintains coherence for longer time periods since C modulates the influence of the bath on A. Thus, one may identify situations where the coupled AC system evolution effectively obeys mixed quantum-classical dynamics.