Quantum Phases of Many-Body Polaron in Mott Insulator Regime in Optical Lattice

FANG Jiarui; YIN Tao; HE Liang

doi:10.6054/j.jscnun.2022081

Journal of South China Normal University (Natural Science Edition) > 2022 > 54(6): 23-27. > DOI: 10.6054/j.jscnun.2022081

FANG Jiarui, YIN Tao, HE Liang. Quantum Phases of Many-Body Polaron in Mott Insulator Regime in Optical Lattice[J]. Journal of South China Normal University (Natural Science Edition), 2022, 54(6): 23-27. DOI: 10.6054/j.jscnun.2022081

Citation:

PDF (1007 KB)

Quantum Phases of Many-Body Polaron in Mott Insulator Regime in Optical Lattice

1.
School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China
2.
Yuntao Quantum Technologies, Shenzhen 518000, China

More Information

Received Date: May 14, 2021
Available Online: February 13, 2023

Graphical Abstract

Abstract

Abstract

The quantum phases of many-body polaron was investigated in two-dimensional optical lattices in Mott Insulator regime. The polaron is a quasi-particle formed by the coupling between bosons in optical lattices and BEC phonons. The effective Hamiltonian of polarons is derived through Lang-Firsov transformation. The system can be described by extended Bose-Hubbard Model. In Mott Insulator regime, the Hamiltonian was solved directly so that the quantum phases of the system can be obtained for single-component case with filling factors of 1/2 and 1/4. By using Hartree-Fock approximation, more quantum phases for two-component case with filling factors of 1/2 and 1/4 can be found. Non-trivial quantum phases was predicted in single-component and two-component systems of polarons.
- optical lattice,
- polaron,
- quantum phases,
- Mott Insulator regime

FullText(HTML)

References (18)

References

[1]	FEYNMAN R P. Simulating physics with computers[J]. International Journal of Theoretical Physics, 1982, 21(6): 467-488. doi: 10.1007/BF02650179
[2]	李志, 黄育蕾, 陈李梅, 等. 冷原子系统中不同色散准粒子波包动力学的模拟[J]. 华南师范大学学报(自然科学版), 2019, 51(5): 1-5. doi: 10.6054/j.jscnun.2019077 LI Z, HUANG Y L, CHEN L M, et al. Simulation of wave packet dynamics of quasiparticles with different dispersions in cold atomic system[J]. Journal of South China Normal University(Natural Science Edition), 2019, 51(5): 1-5. doi: 10.6054/j.jscnun.2019077
[3]	黄肖健, 许文刚, 廖开宇, 等. 六角晶格中Dirac准粒子的动力学模拟与操控[J]. 华南师范大学学报(自然科学版), 2019, 51(2): 7-13. http://journal-n.scnu.edu.cn/article/id/4515 HUANG X J, XU W G, LIAO K Y, et al. Simulation and manipulation of dirac quasiparticles' dynamics in a hexagonal lattice[J]. Journal of South China Normal University(Natural Science Edition), 2019, 51(2): 7-13. http://journal-n.scnu.edu.cn/article/id/4515
[4]	GUENTER K, STOEFERLE T, MORITZ H, et al. Bose-Fermi mixtures in a three-dimensional optical lattice[J]. Physical Review Letters, 2006, 96(18): 180402/1-5. doi: 10.1007/s00340-010-4074-y
[5]	SCHIROTZEK A, WU C H, SOMMER A, et al. Observation of Fermi polarons in a tunable Fermi liquid of ultracold atoms[J]. Physical Review Letters, 2009, 102(23): 230402/1-8. doi: 10.1103/PhysRevLett.102.230402
[6]	GRUSDT F, SHASHI A, ABANIN D, et al. Bloch oscillations of bosonic lattice polarons[J]. Physical Review A, 2014, 90(6): 063610/1-25. http://cmt.harvard.edu/demler/PUBLICATIONS/ref216.pdf
[7]	LEVINSEN J, PARISH M M, BRUUN G M. Impurity in a Bose-Einstein condensate and the Efimov effect[J]. Physical Review Letters, 2015, 115(12): 125302/1-6. https://arxiv.org/abs/1505.04530
[8]	HU M G, VAN DE GRAAFF M J, KEDAR D, et al. Bose polarons in the strongly interacting regime[J]. Physical Review Letters, 2016, 117(5): 055301/1-6.
[9]	HERRERA F, MADISON K W, KREMS R V, et al. Investigating polaron transitions with polar molecules[J]. Physical Review Letters, 2013, 110(22): 223002/1-15. http://groups.chem.ubc.ca/krems/publications/prl2013.pdf
[10]	GULLANS M, TIECKE T G, CHANG D E, et al. Nanoplasmonic lattices for ultracold atoms[J]. Physical Review Letters, 2012, 109(23): 3665-3670. https://dash.harvard.edu/bitstream/handle/1/11870335/89388197.pdf?sequence=1
[11]	BISSBORT U, COCKS D, NEGRETTI A, et al. Emulating solid-state physics with a hybrid system of ultracold ions and atoms[J]. Physical Review Letters, 2013, 111(8): 080501/1-8. https://researchonline.jcu.edu.au/34731/
[12]	SCELLE R, RENTROP T, TRAUTMANN A, et al. Motional coherence of fermions immersed in a bose gas[J]. Physical Review Letters, 2013, 111(7): 070401/1-5. https://arxiv.org/pdf/1306.3308v2
[13]	HUBENER A, SNOEK M, HOFSTETTER W. Magnetic phases of two-component ultracold bosons in an optical lattice[J]. Physical Review, 2009, 80(24): 245109/1-6.
[14]	HU W J, TONG N H. Dynamical mean-field theory for the bose-hubbard model[J]. Physical Review B, 2009, 80(24): 308-310.
[15]	ANDERS P, GULL E, POLLET L, et al. Dynamical mean field solution of the bose-hubbard model[J]. Physical Review Letters, 2010, 105(9): 096402/1-10.
[16]	MARIN B, LODE P. Mean-field phase diagram of the bose-fermi hubbard model[J]. Physical Review B, 2014, 89(9): 094502/1-12.
[17]	LYKOS P, PRATT G W. Discussion on The hartree-fock approximation[J]. Review of Modern Physics, 1963, 35(3): 496-501.
[18]	CAPOGROSSO-SANSONE B, TREFZGER C, LEWENSTEIN M, et al. Quantum phases of cold polar molecules in 2D optical lattices[J]. Physical Review Letters, 2010, 104(12): 125301/1-4.

Cited By

Cited by

Periodical cited type(2)

1.	周伟，丁雪莹，谢志强. 考虑柔性设备加工能力的综合调度算法. 华南师范大学学报(自然科学版). 2024(02): 110-118 .
2.	胡欣，沈伟，李伟，王兴龙，陈逸君. 基于改进边缘算法的通信光缆设备智能检测技术研究. 粘接. 2024(10): 140-144 .

Other cited types(0)

Get Citation

PDF

XML

Article views (210) PDF downloads (89) Cited by(2)

Turn off MathJax

Article Contents

Abstract

References

Quantum Phases of Many-Body Polaron in Mott Insulator Regime in Optical Lattice

Abstract

References

Cited by

Periodical cited type(2)

Other cited types(0)

Catalog

Export File

Citation

Format

Content