Published September 28, 2010
| Published
Journal Article
Open
One-Dimensional Quantum Liquids with Power-Law Interactions: The Luttinger Staircase
- Creators
- Dalmonte, M.
- Pupillo, G.
- Zoller, P.
Abstract
We study one-dimensional fermionic and bosonic gases with repulsive power-law interactions 1/|x|^β, with β > 1, in the framework of Tomonaga-Luttinger liquid (TLL) theory.We obtain an accurate analytical expression linking the TLL parameter to the microscopic Hamiltonian, for arbitrary and strength of the interactions. In the presence of a small periodic potential, power-law interactions make the TLL unstable towards the formation of a cascade of lattice solids with fractional filling, a "Luttinger staircase." Several of these quantum phases and phase transitions are realized with ground state polar molecules and weakly bound magnetic Feshbach molecules.
Additional Information
© 2010 The American Physical Society. Received 28 April 2010; revised manuscript received 19 July 2010; published 28 September 2010. We thank M. Di Dio, E. Ercolessi, R. Fazio, F. Ferlaino, and J. Ye for discussions, H. J. Kimble and P. Julienne for hospitality at Caltech, and JQI. This work was supported by U.Md. PFC/JQI, MURI, EOARD FA8655-10-1-3081, the Austrian FWF, the EU through NAME-QUAM.Attached Files
Published - Dalmonte2010p11540Phys_Rev_Lett.pdf
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Additional details
- Eprint ID
- 20477
- Resolver ID
- CaltechAUTHORS:20101022-085417196
- U.Md. PFC/JQI
- Multidisciplinary University Research Initiative (MURI)
- FA8655-10-1-3081
- European Office of Aerospace Research and Development (EOARD)
- Austrian Science Fund (FWF)
- European Union (EU)
- Created
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2010-11-16Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field