Progress towards quantum simulating the classical mode
Abstract
We connect explicitly the classical $O(2)$ model in 1+1 dimensions, a model sharing important features with $U(1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using the tensor renormalization group formulation, we take the time continuum limit and check that finite dimensional projections used in recent proposals for quantum simulators provide controllable approximations of the original model. We propose two-species Bose-Hubbard models corresponding to these finite dimensional projections at strong coupling and discuss their possible implementations on optical lattices using a $$^{87}$$Rb and $$^{41}$$K Bose-Bose mixture.
- Authors:
-
- Univ. of Iowa, Iowa City (United States). Dept. of Physics and Astronomy
- Univ. of Colorado, Boulder, CO (United States). Dept. of Physics
- Univ. of California, Riverside, CA (United States). Dept. of Physics and Astronomy
- Chongqing Univ. (China). Dept. of Physics
- Univ. of Iowa, Iowa City (United States). Dept. of Physics and Astronomy; Univ. of California, Riverside, CA (United States). Dept. of Physics and Astronomy
- Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics
- Duke Univ., Durham, NC (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Univ. of Iowa, Iowa City, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); USDOD
- OSTI Identifier:
- 1660404
- Alternate Identifier(s):
- OSTI ID: 1181048
- Grant/Contract Number:
- SC0010114; FG02-05ER41368; FG02-91ER40664
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 90; Journal Issue: 6; Journal ID: ISSN 1050-2947
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice Field Theory; Quantum simulations with cold atoms
Citation Formats
Zou, Haiyuan, Liu, Yuzhi, Lai, Chen-Yen, Unmuth-Yockey, J., Yang, Li-Ping, Bazavov, A., Xie, Z. Y., Xiang, T., Chandrasekharan, S., Tsai, S. -W., and Meurice, Y. Progress towards quantum simulating the classical O ( 2 ) mode. United States: N. p., 2014.
Web. doi:10.1103/physreva.90.063603.
Zou, Haiyuan, Liu, Yuzhi, Lai, Chen-Yen, Unmuth-Yockey, J., Yang, Li-Ping, Bazavov, A., Xie, Z. Y., Xiang, T., Chandrasekharan, S., Tsai, S. -W., & Meurice, Y. Progress towards quantum simulating the classical O ( 2 ) mode. United States. https://doi.org/10.1103/physreva.90.063603
Zou, Haiyuan, Liu, Yuzhi, Lai, Chen-Yen, Unmuth-Yockey, J., Yang, Li-Ping, Bazavov, A., Xie, Z. Y., Xiang, T., Chandrasekharan, S., Tsai, S. -W., and Meurice, Y. Mon .
"Progress towards quantum simulating the classical O ( 2 ) mode". United States. https://doi.org/10.1103/physreva.90.063603. https://www.osti.gov/servlets/purl/1660404.
@article{osti_1660404,
title = {Progress towards quantum simulating the classical O ( 2 ) mode},
author = {Zou, Haiyuan and Liu, Yuzhi and Lai, Chen-Yen and Unmuth-Yockey, J. and Yang, Li-Ping and Bazavov, A. and Xie, Z. Y. and Xiang, T. and Chandrasekharan, S. and Tsai, S. -W. and Meurice, Y.},
abstractNote = {We connect explicitly the classical $O(2)$ model in 1+1 dimensions, a model sharing important features with $U(1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using the tensor renormalization group formulation, we take the time continuum limit and check that finite dimensional projections used in recent proposals for quantum simulators provide controllable approximations of the original model. We propose two-species Bose-Hubbard models corresponding to these finite dimensional projections at strong coupling and discuss their possible implementations on optical lattices using a $^{87}$Rb and $^{41}$K Bose-Bose mixture.},
doi = {10.1103/physreva.90.063603},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 6,
volume = 90,
place = {United States},
year = {Mon Dec 01 00:00:00 EST 2014},
month = {Mon Dec 01 00:00:00 EST 2014}
}
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