Accelerated dynamics in adiabatically-tunable asymmetric double-well potential
Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 99-107
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We study a scheme for the acceleration of adiabatic quantum dynamics. Masuda–Nakamura's theory of acceleration uses a strategy of combining two opposite ideas: infinitely-large time-magnification factor $(\bar{\alpha})$ and infinitely-small growth rate $(\epsilon)$ for the adiabatic parameter. We apply the proposed method to a system with a parameter-dependent asymmetric double-well potential which has no scale invariance, and obtain the elctromagnetic field required to accelerate the system. The ground state wave function, initially localized in one well, quickly moves to another well. We investigate two kinds of ground-state wave functions: with and without space-dependent phase $\eta$. For the system with non-zero $\eta$, we show the fast-forward of the adiabatic change for current density distribution more clearly characterizes the well-towell transport and is deformed as the finite renormalized time-multiplication factor $(\bar{v}=\epsilon\bar{\alpha})$ is varied.
Keywords:
fast-forwarding, adiabatic quantum dynamics, asymmetric double-well potential.
@article{NANO_2017_8_1_a14,
author = {I. Setiawan and B. E. Gunara and J. S. Kosasih and K. Nakamura},
title = {Accelerated dynamics in adiabatically-tunable asymmetric double-well potential},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {99--107},
year = {2017},
volume = {8},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a14/}
}
TY - JOUR AU - I. Setiawan AU - B. E. Gunara AU - J. S. Kosasih AU - K. Nakamura TI - Accelerated dynamics in adiabatically-tunable asymmetric double-well potential JO - Nanosistemy: fizika, himiâ, matematika PY - 2017 SP - 99 EP - 107 VL - 8 IS - 1 UR - http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a14/ LA - en ID - NANO_2017_8_1_a14 ER -
%0 Journal Article %A I. Setiawan %A B. E. Gunara %A J. S. Kosasih %A K. Nakamura %T Accelerated dynamics in adiabatically-tunable asymmetric double-well potential %J Nanosistemy: fizika, himiâ, matematika %D 2017 %P 99-107 %V 8 %N 1 %U http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a14/ %G en %F NANO_2017_8_1_a14
I. Setiawan; B. E. Gunara; J. S. Kosasih; K. Nakamura. Accelerated dynamics in adiabatically-tunable asymmetric double-well potential. Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 99-107. http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a14/