Non-Hermitian dynamics in the quantum Zeno limit

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Non-Hermitian dynamics in the quantum Zeno limit. / Kozlowski, W.; Caballero-Benitez, S. F.; Mekhov, I. B.

In: Physical Review A, Vol. 94, No. 1, 012123, 29.07.2016.

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

Author

Kozlowski, W. ; Caballero-Benitez, S. F. ; Mekhov, I. B. / Non-Hermitian dynamics in the quantum Zeno limit. In: Physical Review A. 2016 ; Vol. 94, No. 1.

BibTeX

@article{f4a94b17c483479ca5b5eb08176351ad,

title = "Non-Hermitian dynamics in the quantum Zeno limit",

abstract = "We show that weak measurement leads to unconventional quantum Zeno dynamics with Raman-like transitions via virtual states outside the Zeno subspace. We extend this concept into the realm of non-Hermitian dynamics by showing that the stochastic competition between measurement and a system's own dynamics can be described by a non-Hermitian Hamiltonian. We obtain a solution for ultracold bosons in a lattice and show that a dark state of tunneling is achieved as a steady state in which the observable's fluctuations are zero and tunneling is suppressed by destructive matter-wave interference.",

author = "W. Kozlowski and Caballero-Benitez, {S. F.} and Mekhov, {I. B.}",

year = "2016",

month = jul,

day = "29",

doi = "10.1103/PhysRevA.94.012123",

language = "English",

volume = "94",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "1",

}

RIS

TY - JOUR

T1 - Non-Hermitian dynamics in the quantum Zeno limit

AU - Kozlowski, W.

AU - Caballero-Benitez, S. F.

AU - Mekhov, I. B.

PY - 2016/7/29

Y1 - 2016/7/29

N2 - We show that weak measurement leads to unconventional quantum Zeno dynamics with Raman-like transitions via virtual states outside the Zeno subspace. We extend this concept into the realm of non-Hermitian dynamics by showing that the stochastic competition between measurement and a system's own dynamics can be described by a non-Hermitian Hamiltonian. We obtain a solution for ultracold bosons in a lattice and show that a dark state of tunneling is achieved as a steady state in which the observable's fluctuations are zero and tunneling is suppressed by destructive matter-wave interference.

AB - We show that weak measurement leads to unconventional quantum Zeno dynamics with Raman-like transitions via virtual states outside the Zeno subspace. We extend this concept into the realm of non-Hermitian dynamics by showing that the stochastic competition between measurement and a system's own dynamics can be described by a non-Hermitian Hamiltonian. We obtain a solution for ultracold bosons in a lattice and show that a dark state of tunneling is achieved as a steady state in which the observable's fluctuations are zero and tunneling is suppressed by destructive matter-wave interference.

UR - http://www.scopus.com/inward/record.url?scp=84979929982&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.94.012123

DO - 10.1103/PhysRevA.94.012123

M3 - Article

AN - SCOPUS:84979929982

VL - 94

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 1

M1 - 012123

ER -

ID: 69878104