Standard

Geometric phase in open quantum system as a function of its history. / Yakovleva, T. S.; Rostom, A. M.; Tomilin, V. A. et al.

In: Quantum Studies: Mathematics and Foundations, Vol. 6, No. 2, 01.06.2019, p. 217-224.

Research output: Contribution to journal › Article › peer-review

Harvard

Yakovleva, TS, Rostom, AM, Tomilin, VA & Il’ichov, LV 2019, 'Geometric phase in open quantum system as a function of its history', Quantum Studies: Mathematics and Foundations, vol. 6, no. 2, pp. 217-224. https://doi.org/10.1007/s40509-018-00179-x

APA

Yakovleva, T. S., Rostom, A. M., Tomilin, V. A., & Il’ichov, L. V. (2019). Geometric phase in open quantum system as a function of its history. Quantum Studies: Mathematics and Foundations, 6(2), 217-224. https://doi.org/10.1007/s40509-018-00179-x

Vancouver

Yakovleva TS, Rostom AM, Tomilin VA, Il’ichov LV. Geometric phase in open quantum system as a function of its history. Quantum Studies: Mathematics and Foundations. 2019 Jun 1;6(2):217-224. doi: 10.1007/s40509-018-00179-x

Author

Yakovleva, T. S. ; Rostom, A. M. ; Tomilin, V. A. et al. / Geometric phase in open quantum system as a function of its history. In: Quantum Studies: Mathematics and Foundations. 2019 ; Vol. 6, No. 2. pp. 217-224.

BibTeX

@article{912587fd73d84a20b136dcb3f07b46b5,
title = "Geometric phase in open quantum system as a function of its history",
abstract = "A general expression for geometric phase in open quantum system is derived in the framework of a previously established operational approach. The system state gains geometric phase during propagation along a chain of Mach–Zehnder interferometers accompanied by acts of information exchange with the environment. Each act represents interaction with an environment element prepared in a standard state and subsequent measurement of its observable. The geometric phase appears to be a function of the system{\textquoteright}s history, i.e. of a sequence of measurements outcomes. Numerical calculations of the geometric phase are made for a qubit-like quantum system and that of the environment and controlled phase shift as interaction.",
keywords = "Geometric phase, Mach–Zehnder interferometer, Open quantum systems",
author = "Yakovleva, {T. S.} and Rostom, {A. M.} and Tomilin, {V. A.} and Il{\textquoteright}ichov, {L. V.}",
note = "Publisher Copyright: {\textcopyright} 2019, Chapman University.",
year = "2019",
month = jun,
day = "1",
doi = "10.1007/s40509-018-00179-x",
language = "English",
volume = "6",
pages = "217--224",
journal = "Quantum Studies: Mathematics and Foundations",
issn = "2196-5609",
publisher = "Birkhaeuser",
number = "2",

}

RIS

TY - JOUR

T1 - Geometric phase in open quantum system as a function of its history

AU - Yakovleva, T. S.

AU - Rostom, A. M.

AU - Tomilin, V. A.

AU - Il’ichov, L. V.

N1 - Publisher Copyright: © 2019, Chapman University.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - A general expression for geometric phase in open quantum system is derived in the framework of a previously established operational approach. The system state gains geometric phase during propagation along a chain of Mach–Zehnder interferometers accompanied by acts of information exchange with the environment. Each act represents interaction with an environment element prepared in a standard state and subsequent measurement of its observable. The geometric phase appears to be a function of the system’s history, i.e. of a sequence of measurements outcomes. Numerical calculations of the geometric phase are made for a qubit-like quantum system and that of the environment and controlled phase shift as interaction.

AB - A general expression for geometric phase in open quantum system is derived in the framework of a previously established operational approach. The system state gains geometric phase during propagation along a chain of Mach–Zehnder interferometers accompanied by acts of information exchange with the environment. Each act represents interaction with an environment element prepared in a standard state and subsequent measurement of its observable. The geometric phase appears to be a function of the system’s history, i.e. of a sequence of measurements outcomes. Numerical calculations of the geometric phase are made for a qubit-like quantum system and that of the environment and controlled phase shift as interaction.

KW - Geometric phase

KW - Mach–Zehnder interferometer

KW - Open quantum systems

UR - http://www.scopus.com/inward/record.url?scp=85067568877&partnerID=8YFLogxK

U2 - 10.1007/s40509-018-00179-x

DO - 10.1007/s40509-018-00179-x

M3 - Article

AN - SCOPUS:85067568877

VL - 6

SP - 217

EP - 224

JO - Quantum Studies: Mathematics and Foundations

JF - Quantum Studies: Mathematics and Foundations

SN - 2196-5609

IS - 2

ER -

ID: 25676323