Details
| Original language | English |
|---|---|
| Article number | 042101 |
| Journal | Physical Review A |
| Volume | 95 |
| Issue number | 4 |
| Publication status | Published - 3 Apr 2017 |
Abstract
We consider a qubit governed by a sequence of weak measurements, with the measurement strength modified in a time- and state-dependent manner. Here we show that the resulting trajectory of the qubit in the phase space can be weakly controlled without any direct action on the qubit (control-free control), even if only one fixed observable is measured. In particular, we demonstrate a possibility of a weak form of a stochastic ratchet, allowing us to weakly push the qubit's state without any net force in the effective potential. Furthermore, if the weak measurement strength is significantly reduced in a way conditioned to some particular state, a dynamical localization near this state takes place. If the measurement strength is reduced to zero, a singularity appears, which behaves like an artificial basis state.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 95, No. 4, 042101, 03.04.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Weak stochastic ratchets and dynamic localization in measurement-induced quantum trajectories
AU - Babushkin, I.
N1 - Publisher Copyright: © 2017 American Physical Society. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/4/3
Y1 - 2017/4/3
N2 - We consider a qubit governed by a sequence of weak measurements, with the measurement strength modified in a time- and state-dependent manner. Here we show that the resulting trajectory of the qubit in the phase space can be weakly controlled without any direct action on the qubit (control-free control), even if only one fixed observable is measured. In particular, we demonstrate a possibility of a weak form of a stochastic ratchet, allowing us to weakly push the qubit's state without any net force in the effective potential. Furthermore, if the weak measurement strength is significantly reduced in a way conditioned to some particular state, a dynamical localization near this state takes place. If the measurement strength is reduced to zero, a singularity appears, which behaves like an artificial basis state.
AB - We consider a qubit governed by a sequence of weak measurements, with the measurement strength modified in a time- and state-dependent manner. Here we show that the resulting trajectory of the qubit in the phase space can be weakly controlled without any direct action on the qubit (control-free control), even if only one fixed observable is measured. In particular, we demonstrate a possibility of a weak form of a stochastic ratchet, allowing us to weakly push the qubit's state without any net force in the effective potential. Furthermore, if the weak measurement strength is significantly reduced in a way conditioned to some particular state, a dynamical localization near this state takes place. If the measurement strength is reduced to zero, a singularity appears, which behaves like an artificial basis state.
UR - http://www.scopus.com/inward/record.url?scp=85017128747&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.95.042101
DO - 10.1103/PhysRevA.95.042101
M3 - Article
AN - SCOPUS:85017128747
VL - 95
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 4
M1 - 042101
ER -