Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model

Steve Campbell, Gabriele De Chiara, Mauro Paternostro, G. Massimo Palma, Rosario Fazio

Research output: Contribution to journalLetter

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Abstract

We study transitionless quantum driving in an infinite-range many-body system described by the Lipkin-Meshkov-Glick model. Despite the correlation length being always infinite the closing of the gap at the critical point makes the driving Hamiltonian of increasing complexity also in this case. To this aim we develop a hybrid strategy combining a shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the phase transition.
Original languageEnglish
Article number177206
Number of pages6
JournalPhysical Review Letters
Volume114
Issue number17
DOIs
Publication statusPublished - 01 May 2015

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optimal control
closing
critical point
defects

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Campbell, Steve ; De Chiara, Gabriele ; Paternostro, Mauro ; Palma, G. Massimo ; Fazio, Rosario. / Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model. In: Physical Review Letters. 2015 ; Vol. 114, No. 17.
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Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model. / Campbell, Steve; De Chiara, Gabriele; Paternostro, Mauro; Palma, G. Massimo; Fazio, Rosario.

In: Physical Review Letters, Vol. 114, No. 17, 177206, 01.05.2015.

Research output: Contribution to journalLetter

TY - JOUR

T1 - Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model

AU - Campbell, Steve

AU - De Chiara, Gabriele

AU - Paternostro, Mauro

AU - Palma, G. Massimo

AU - Fazio, Rosario

PY - 2015/5/1

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N2 - We study transitionless quantum driving in an infinite-range many-body system described by the Lipkin-Meshkov-Glick model. Despite the correlation length being always infinite the closing of the gap at the critical point makes the driving Hamiltonian of increasing complexity also in this case. To this aim we develop a hybrid strategy combining a shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the phase transition.

AB - We study transitionless quantum driving in an infinite-range many-body system described by the Lipkin-Meshkov-Glick model. Despite the correlation length being always infinite the closing of the gap at the critical point makes the driving Hamiltonian of increasing complexity also in this case. To this aim we develop a hybrid strategy combining a shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the phase transition.

U2 - 10.1103/PhysRevLett.114.177206

DO - 10.1103/PhysRevLett.114.177206

M3 - Letter

VL - 114

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 17

M1 - 177206

ER -