Creating analogs of thermal distributions from diabatic excitations in ion-trap-based quantum simulation
One broad goal of quantum simulation is to start a simple quantum system in its ground state and slowly evolve the Hamiltonian to a complex one, maintaining the ground state throughout the evolution (called adiabatic state preparation). This provides a natural setting to create a highly entangled an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/4/043026 |
| _version_ | 1797750957138771968 |
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| author | M H Lim B T Yoshimura J K Freericks |
| author_facet | M H Lim B T Yoshimura J K Freericks |
| author_sort | M H Lim |
| collection | DOAJ |
| description | One broad goal of quantum simulation is to start a simple quantum system in its ground state and slowly evolve the Hamiltonian to a complex one, maintaining the ground state throughout the evolution (called adiabatic state preparation). This provides a natural setting to create a highly entangled and correlated quantum state if the final Hamiltonian supports such a ground state. In ion-trap-based quantum simulations, coherence times are too short to allow for such ground-state evolution for large chains, because the rapid evolution of the system creates excitations to higher energy states. Because the probability for this excitation depends exponentially on the excitation energy and because the thermal distribution also depends exponentially on the excitation energy, we investigate whether this so-called diabatic excitation can create the analog of a thermal distribution; as this could serve as an alternative for creating thermal states of complex quantum systems without requiring contact with a heat bath. In this work, we explore this relationship and determine situations, where diabatic excitation can approximately create thermal states. |
| first_indexed | 2024-03-12T16:41:19Z |
| format | Article |
| id | doaj.art-4219a085416a4bc39b9e8f9816bbee1a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:41:19Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-4219a085416a4bc39b9e8f9816bbee1a2023-08-08T14:29:43ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118404302610.1088/1367-2630/18/4/043026Creating analogs of thermal distributions from diabatic excitations in ion-trap-based quantum simulationM H Lim0B T Yoshimura1J K Freericks2Department of Physics, Harvard University , 17 Oxford Street, Cambridge, MA 02138, USADepartment of Physics, Georgetown University , 37th and O Sts. NW, Washington, DC 20057, USADepartment of Physics, Georgetown University , 37th and O Sts. NW, Washington, DC 20057, USAOne broad goal of quantum simulation is to start a simple quantum system in its ground state and slowly evolve the Hamiltonian to a complex one, maintaining the ground state throughout the evolution (called adiabatic state preparation). This provides a natural setting to create a highly entangled and correlated quantum state if the final Hamiltonian supports such a ground state. In ion-trap-based quantum simulations, coherence times are too short to allow for such ground-state evolution for large chains, because the rapid evolution of the system creates excitations to higher energy states. Because the probability for this excitation depends exponentially on the excitation energy and because the thermal distribution also depends exponentially on the excitation energy, we investigate whether this so-called diabatic excitation can create the analog of a thermal distribution; as this could serve as an alternative for creating thermal states of complex quantum systems without requiring contact with a heat bath. In this work, we explore this relationship and determine situations, where diabatic excitation can approximately create thermal states.https://doi.org/10.1088/1367-2630/18/4/043026quantum simulationdiabatic excitationthermal distributiontransverse-field Ising model |
| spellingShingle | M H Lim B T Yoshimura J K Freericks Creating analogs of thermal distributions from diabatic excitations in ion-trap-based quantum simulation New Journal of Physics quantum simulation diabatic excitation thermal distribution transverse-field Ising model |
| title | Creating analogs of thermal distributions from diabatic excitations in ion-trap-based quantum simulation |
| title_full | Creating analogs of thermal distributions from diabatic excitations in ion-trap-based quantum simulation |
| title_fullStr | Creating analogs of thermal distributions from diabatic excitations in ion-trap-based quantum simulation |
| title_full_unstemmed | Creating analogs of thermal distributions from diabatic excitations in ion-trap-based quantum simulation |
| title_short | Creating analogs of thermal distributions from diabatic excitations in ion-trap-based quantum simulation |
| title_sort | creating analogs of thermal distributions from diabatic excitations in ion trap based quantum simulation |
| topic | quantum simulation diabatic excitation thermal distribution transverse-field Ising model |
| url | https://doi.org/10.1088/1367-2630/18/4/043026 |
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