Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms
We present a detailed analysis of the dynamical response of ultra-cold bosonic atoms in a one-dimensional optical lattice subjected to a periodic modulation of the lattice depth. Following the experimental realization by Stoferle et al [Phys. Rev. Lett. 92, 130403 (2004)] we study the excitation spe...
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| Format: | Journal article |
| Language: | English |
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2006
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| _version_ | 1797055237326897152 |
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| author | Clark, SR Jaksch, D |
| author_facet | Clark, SR Jaksch, D |
| author_sort | Clark, SR |
| collection | OXFORD |
| description | We present a detailed analysis of the dynamical response of ultra-cold bosonic atoms in a one-dimensional optical lattice subjected to a periodic modulation of the lattice depth. Following the experimental realization by Stoferle et al [Phys. Rev. Lett. 92, 130403 (2004)] we study the excitation spectrum of the system as revealed by the response of the total energy as a function of the modulation frequency Omega. By using the Time Evolving Block Decimation algorithm, we are able to simulate one-dimensional systems comparable in size to those in the experiment, with harmonic trapping and across many lattice depths ranging from the Mott-insulator to the superfluid regime. Our results produce many of the features seen in the experiment, namely a broad response in the superfluid regime, and narrow discrete resonances in the Mott-insulator regime. We identify several signatures of the superfluid-Mott insulator transition that are manifested in the spectrum as it evolves from one limit to the other. |
| first_indexed | 2024-03-06T19:08:01Z |
| format | Journal article |
| id | oxford-uuid:15d37ac8-fd05-4655-adf9-671bc4a59b5c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:08:01Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:15d37ac8-fd05-4655-adf9-671bc4a59b5c2022-03-26T10:27:37ZSignatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atomsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:15d37ac8-fd05-4655-adf9-671bc4a59b5cEnglishSymplectic Elements at Oxford2006Clark, SRJaksch, DWe present a detailed analysis of the dynamical response of ultra-cold bosonic atoms in a one-dimensional optical lattice subjected to a periodic modulation of the lattice depth. Following the experimental realization by Stoferle et al [Phys. Rev. Lett. 92, 130403 (2004)] we study the excitation spectrum of the system as revealed by the response of the total energy as a function of the modulation frequency Omega. By using the Time Evolving Block Decimation algorithm, we are able to simulate one-dimensional systems comparable in size to those in the experiment, with harmonic trapping and across many lattice depths ranging from the Mott-insulator to the superfluid regime. Our results produce many of the features seen in the experiment, namely a broad response in the superfluid regime, and narrow discrete resonances in the Mott-insulator regime. We identify several signatures of the superfluid-Mott insulator transition that are manifested in the spectrum as it evolves from one limit to the other. |
| spellingShingle | Clark, SR Jaksch, D Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms |
| title | Signatures of the superfluid to Mott-insulator transition in the
excitation spectrum of ultracold atoms |
| title_full | Signatures of the superfluid to Mott-insulator transition in the
excitation spectrum of ultracold atoms |
| title_fullStr | Signatures of the superfluid to Mott-insulator transition in the
excitation spectrum of ultracold atoms |
| title_full_unstemmed | Signatures of the superfluid to Mott-insulator transition in the
excitation spectrum of ultracold atoms |
| title_short | Signatures of the superfluid to Mott-insulator transition in the
excitation spectrum of ultracold atoms |
| title_sort | signatures of the superfluid to mott insulator transition in the excitation spectrum of ultracold atoms |
| work_keys_str_mv | AT clarksr signaturesofthesuperfluidtomottinsulatortransitionintheexcitationspectrumofultracoldatoms AT jakschd signaturesofthesuperfluidtomottinsulatortransitionintheexcitationspectrumofultracoldatoms |