Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks
Delta-kick cooling (DKC) is used to compress the momentum distribution of ultracold quantum matter. It combines expansion dynamics with the use of kick pulses, designed via classical methods, that bring the system to rest. We introduce an exact approach to DKC for arbitrary scale-invariant dynamics...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-09-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033261 |
| _version_ | 1827285634383872000 |
|---|---|
| author | Léonce Dupays David C. Spierings Aephraim M. Steinberg Adolfo del Campo |
| author_facet | Léonce Dupays David C. Spierings Aephraim M. Steinberg Adolfo del Campo |
| author_sort | Léonce Dupays |
| collection | DOAJ |
| description | Delta-kick cooling (DKC) is used to compress the momentum distribution of ultracold quantum matter. It combines expansion dynamics with the use of kick pulses, designed via classical methods, that bring the system to rest. We introduce an exact approach to DKC for arbitrary scale-invariant dynamics of quantum gases, lifting the original restrictions to free evolution and noninteracting systems, to account for the control of atomic clouds in a time-dependent harmonic trap that can be either repulsive (inverted) or confining. We show that DKC assisted by a repulsive potential outperforms the conventional scheme, and that sudden trap-frequency quenches combined with DKC are equivalent to time-optimal bang-bang protocols. We further show that reverse engineering of the scale-invariant dynamics under smooth trap-frequency modulations can be combined with DKC to introduce a new class of shortcuts to adiabaticity assisted by kicks. |
| first_indexed | 2024-04-24T10:18:03Z |
| format | Article |
| id | doaj.art-186270e88fb846e69d11550d354b6987 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:03Z |
| publishDate | 2021-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-186270e88fb846e69d11550d354b69872024-04-12T17:14:09ZengAmerican Physical SocietyPhysical Review Research2643-15642021-09-013303326110.1103/PhysRevResearch.3.033261Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicksLéonce DupaysDavid C. SpieringsAephraim M. SteinbergAdolfo del CampoDelta-kick cooling (DKC) is used to compress the momentum distribution of ultracold quantum matter. It combines expansion dynamics with the use of kick pulses, designed via classical methods, that bring the system to rest. We introduce an exact approach to DKC for arbitrary scale-invariant dynamics of quantum gases, lifting the original restrictions to free evolution and noninteracting systems, to account for the control of atomic clouds in a time-dependent harmonic trap that can be either repulsive (inverted) or confining. We show that DKC assisted by a repulsive potential outperforms the conventional scheme, and that sudden trap-frequency quenches combined with DKC are equivalent to time-optimal bang-bang protocols. We further show that reverse engineering of the scale-invariant dynamics under smooth trap-frequency modulations can be combined with DKC to introduce a new class of shortcuts to adiabaticity assisted by kicks.http://doi.org/10.1103/PhysRevResearch.3.033261 |
| spellingShingle | Léonce Dupays David C. Spierings Aephraim M. Steinberg Adolfo del Campo Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks Physical Review Research |
| title | Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks |
| title_full | Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks |
| title_fullStr | Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks |
| title_full_unstemmed | Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks |
| title_short | Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks |
| title_sort | delta kick cooling time optimal control of scale invariant dynamics and shortcuts to adiabaticity assisted by kicks |
| url | http://doi.org/10.1103/PhysRevResearch.3.033261 |
| work_keys_str_mv | AT leoncedupays deltakickcoolingtimeoptimalcontrolofscaleinvariantdynamicsandshortcutstoadiabaticityassistedbykicks AT davidcspierings deltakickcoolingtimeoptimalcontrolofscaleinvariantdynamicsandshortcutstoadiabaticityassistedbykicks AT aephraimmsteinberg deltakickcoolingtimeoptimalcontrolofscaleinvariantdynamicsandshortcutstoadiabaticityassistedbykicks AT adolfodelcampo deltakickcoolingtimeoptimalcontrolofscaleinvariantdynamicsandshortcutstoadiabaticityassistedbykicks |