Environment-Assisted Shortcuts to Adiabaticity

Touil, Akram; Deffner, Sebastian

doi:10.3390/e23111479

Environment-Assisted Shortcuts to Adiabaticity

Oct 13, 2021

13 pages

Published in:

Entropy 23 (2021) 1479

e-Print:

2110.06681 [quant-ph]

DOI:

10.3390/e23111479 (publication)

View in:

pdf

reference search7 citations

Citations per year

Abstract: (arXiv)

Envariance is a symmetry exhibited by correlated quantum systems. Inspired by this "quantum fact of life," we propose a novel method for shortcuts to adiabaticity which enables the system to evolve through the adiabatic manifold at all times, solely by controlling the environment. As main results, we construct the unique form of the driving on the environment that enables such dynamics, for a family of composite states of arbitrary dimension. We compare the cost of this environment-assisted technique with that of counterdiabatic driving, and we illustrate our results for a two-qubit model.

Note:

13 pages, 2 figures

References(78)

Figures(5)

[1]

of the Second Quantum Revolution

I.H. Harnessing the Power

- PRX Quantum 1 (2020) 020101

[2]

Quantum technology: The second quantum revolution

J.P. Dowling
,
G.J. Milburn

- Phil.Trans.A.Math.Phys.Eng.Sci. 361 (2003) 1655-1674

[3]

Beweis des Adiabatensatzes

M. Born
,
V. Fock

- Z.Phys. 51 (1928) 3, 165-180
•
DOI:
- 10.1007/BF01343193

[4]

Quantum Mechanics, John

A. Messiah

[5]

On the adiabatic theorem of quantum mechanics

G. Nenciu

- J.Phys.A 13 (1980) L15-L18

[6]

ON THE ADIABATIC LIMIT FOR DIRAC PARTICLES IN EXTERNAL FIELDS

G. Nenciu
(
- Zurich U.
)

- Commun.Math.Phys. 76 (1980) 117-128
•
DOI:
- 10.1007/BF01212820

[7]

Adiabatic Theorem and Spectral Concentration. 1. Arbitrary Order Spectral Concentration for the Stark Effect in Atomic Physics

G. Nenciu
(
- Dubna, JINR
)

- Commun.Math.Phys. 82 (1981) 121
•
DOI:
- 10.1007/BF01206948

[8]

Shortcuts to Adiabaticity

et al.

- Adv.At.Mol.Opt.Phys. 62 (2013) 117-169
•
DOI:
- 10.1016/B978-0-12-408090-4.00002-5

[9]

Shortcuts to adiabaticity: Concepts, methods, and applications

et al.

- Rev.Mod.Phys. 91 (2019) 4, 045001
•
DOI:
- 10.1103/RevModPhys.91.045001

[10]

Focus on Shortcuts to Adiabaticity

A. del Campo
,
K. Kim

- New J.Phys. 21 (2019) 050201

[11]

Thermodynamic control —An old paradigm with new applications

S. Deffner
,
M.V.S. Bonança

- EPL 131 (2020) 20001

[12]

Assisted adiabatic passage revisited

M. Demirplak
,
S.A. Rice

- J.Phys.Chem.B 109 (2005) 6838

[13]

Adiabatic Population Transfer with Control Fields

M. Demirplak
,
S.A. Rice

- J.Chem.Phys.A 2003 107

[14]

Transitionless quantum driving

M.V. Berry

- J.Phys.A 42 (2009) 36, 365303
•
DOI:
- 10.1088/1751-8113/42/36/365303

[15]

Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model

S. Campbell
,
G. De Chiara
,
M. Paternostro
,
G.M. Palma
,
R. Fazio

- Phys.Rev.Lett. 114 (2015) 177206

[16]

Shortcuts to Adiabaticity by Counterdiabatic Driving

Adolfo del Campo

- Phys.Rev.Lett. 111 (2013) 10, 100502
•
DOI:
- 10.1103/PhysRevLett.111.100502

[17]

Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model

- Phys.Rev.Lett. 109 (2012) 11, 115703
•
DOI:
- 10.1103/PhysRevLett.109.115703

[18]

Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving

- Phys.Rev.X 4 (2014) 2, 021013
•
e-Print:
- 1401.1184
•
DOI:
- 10.1103/PhysRevX.4.021013

[19]

An, S., Lv, D

A. Del Campo
,
K. Kim

- Nature Commun. 7 (2016) 1-5

[20]

Acceleration of adiabatic quantum dynamics in electromagnetic fields

S. Masuda
,
K. Nakamura

- Phys.Rev.A 84 (2011) 043434

[21]

Fast-forward of adiabatic dynamics in quantum mechanics

S. Masuda
,
K. Nakamura

- Proc.Roy.Soc.Lond.A 466 (2010) 1135

[22]

Fast-Forward Assisted STIRAP

S. Masuda
,
S.A. Rice

- J.Phys.Chem.A 119 (2015) 3479

[23]

High-Fidelity Rapid Ground-State Loading of an Ultracold Gas into an Optical Lattice

S. Masuda
,
K. Nakamura
,
A. del Campo

- Phys.Rev.Lett. 113 (2014) 063003

[24]

d.L. Time-rescaled quantum dynamics as a shortcut to adiabaticity

B. Bernardo

- Phys.Rev.Res. 2 (2020) 013133

[25]

Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals

- Entropy 23 (2021) 1, 81
•
e-Print:
- 2012.11763
•
DOI:
- 10.3390/e23010081

1-25 of 78
1
2
3
4
25 / page