Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States
The system of a cold atomic gas in an optical lattice is governed by two factors: nonlinearity originating from the interparticle interaction, and the periodicity of the system set by the lattice. The high level of controllability associated with such an arrangement allows for the study of the compe...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2016-03-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/18/4/118 |
| _version_ | 1818014968801394688 |
|---|---|
| author | Gentaro Watanabe B. Prasanna Venkatesh Raka Dasgupta |
| author_facet | Gentaro Watanabe B. Prasanna Venkatesh Raka Dasgupta |
| author_sort | Gentaro Watanabe |
| collection | DOAJ |
| description | The system of a cold atomic gas in an optical lattice is governed by two factors: nonlinearity originating from the interparticle interaction, and the periodicity of the system set by the lattice. The high level of controllability associated with such an arrangement allows for the study of the competition and interplay between these two, and gives rise to a whole range of interesting and rich nonlinear effects. This review covers the basic idea and overview of such nonlinear phenomena, especially those corresponding to extended states. This includes “swallowtail” loop structures of the energy band, Bloch states with multiple periodicity, and those in “nonlinear lattices”, i.e., systems with the nonlinear interaction term itself being a periodic function in space. |
| first_indexed | 2024-04-14T06:51:54Z |
| format | Article |
| id | doaj.art-ef69bd853ecb4892bc7141a70334b3c6 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T06:51:54Z |
| publishDate | 2016-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ef69bd853ecb4892bc7141a70334b3c62022-12-22T02:07:01ZengMDPI AGEntropy1099-43002016-03-0118411810.3390/e18040118e18040118Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended StatesGentaro Watanabe0B. Prasanna Venkatesh1Raka Dasgupta2Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34051, KoreaAsia Pacific Center for Theoretical Physics (APCTP), Pohang, Gyeongbuk 37673, KoreaAsia Pacific Center for Theoretical Physics (APCTP), Pohang, Gyeongbuk 37673, KoreaThe system of a cold atomic gas in an optical lattice is governed by two factors: nonlinearity originating from the interparticle interaction, and the periodicity of the system set by the lattice. The high level of controllability associated with such an arrangement allows for the study of the competition and interplay between these two, and gives rise to a whole range of interesting and rich nonlinear effects. This review covers the basic idea and overview of such nonlinear phenomena, especially those corresponding to extended states. This includes “swallowtail” loop structures of the energy band, Bloch states with multiple periodicity, and those in “nonlinear lattices”, i.e., systems with the nonlinear interaction term itself being a periodic function in space.http://www.mdpi.com/1099-4300/18/4/118optical latticesBose–Einstein condensatescold Fermi gasessuperfluidity |
| spellingShingle | Gentaro Watanabe B. Prasanna Venkatesh Raka Dasgupta Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States Entropy optical lattices Bose–Einstein condensates cold Fermi gases superfluidity |
| title | Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States |
| title_full | Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States |
| title_fullStr | Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States |
| title_full_unstemmed | Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States |
| title_short | Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States |
| title_sort | nonlinear phenomena of ultracold atomic gases in optical lattices emergence of novel features in extended states |
| topic | optical lattices Bose–Einstein condensates cold Fermi gases superfluidity |
| url | http://www.mdpi.com/1099-4300/18/4/118 |
| work_keys_str_mv | AT gentarowatanabe nonlinearphenomenaofultracoldatomicgasesinopticallatticesemergenceofnovelfeaturesinextendedstates AT bprasannavenkatesh nonlinearphenomenaofultracoldatomicgasesinopticallatticesemergenceofnovelfeaturesinextendedstates AT rakadasgupta nonlinearphenomenaofultracoldatomicgasesinopticallatticesemergenceofnovelfeaturesinextendedstates |