Different effective Hamiltonians in a periodic-driven Bose-Josephson junction

被引:0
作者
Lin, Xiaoshui [1 ]
Rao, Zeyu [1 ]
Gong, Ming [1 ,2 ,3 ]
机构
[1] Univ Sci & Technol China, CAS Key Lab Quantum Informat, Hefei 230026, Peoples R China
[2] Univ Sci & Technol China, Synerget Innovat Ctr Quantum Informat & Quantum Ph, Hefei 230026, Anhui, Peoples R China
[3] Univ Sci & Technol China, Hefei Natl Lab, Hefei 230088, Peoples R China
关键词
EINSTEIN CONDENSATION; OSCILLATIONS; DYNAMICS; GAS;
D O I
10.1103/PhysRevE.110.034214
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The bosonic Josephson junction, one of the maximally simple models for periodic-driven many-body systems, has been intensively studied in the past two decades. Here, we revisit this problem with five different methods, all of which have solid theoretical reasoning. We find that to the order of omega(-2) (omega is the modulating frequency), these approaches will yield slightly different effective Hamiltonians. In particular, the parameters in the effective Hamiltonians may be unchanged, increased, or decreased, depending on the approximations used. Especially, some of the methods generate new interactions, which still preserve the total number of particles, and the others do not. The validity of these five effective models is verified using dynamics of population imbalance and selftrapping phase transition, and we find that the method based on the rotating frame by a unitary transformation has the highest accuracy. The difference between these methods will become significant when the driving amplitude or interaction strengths are comparable with the driving frequency. These differences can also be manifested from their long-time dynamics. We demonstrate this physics using a Bose-Josephson junction, and it is to be hoped that the validity of these methods and their tiny differences put forward in this paper can be verified in realistic experiments in the future using quantum simulating platforms, including but not limited to ultracold atoms.
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页数:13
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共 85 条
  • [1] Macroscopic quantum self-trapping and Josephson oscillations of exciton polaritons
    Abbarchi, M.
    Amo, A.
    Sala, V. G.
    Solnyshkov, D. D.
    Flayac, H.
    Ferrier, L.
    Sagnes, I.
    Galopin, E.
    Lemaitre, A.
    Malpuech, G.
    Bloch, J.
    [J]. NATURE PHYSICS, 2013, 9 (05) : 275 - 279
  • [2] Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential
    Abdullaev, FK
    Kraenkel, RA
    [J]. PHYSICAL REVIEW A, 2000, 62 (02): : 9
  • [3] Topological Properties of Floquet Winding Bands in a Photonic Lattice
    Adiyatullin, Albert F.
    Upreti, Lavi K.
    Lechevalier, Corentin
    Evain, Clement
    Copie, Francois
    Suret, Pierre
    Randoux, Stephane
    Delplace, Pierre
    Amo, Alberto
    [J]. PHYSICAL REVIEW LETTERS, 2023, 130 (05)
  • [4] Direct observation of tunneling and nonlinear self-trapping in a single bosonic Josephson junction -: art. no. 010402
    Albiez, M
    Gati, R
    Fölling, J
    Hunsmann, S
    Cristiani, M
    Oberthaler, MK
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (01)
  • [5] Gross-Pitaevskii equation for Bose particles in a double-well potential: Two-mode models and beyond
    Ananikian, D
    Bergeman, T
    [J]. PHYSICAL REVIEW A, 2006, 73 (01):
  • [6] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR
    ANDERSON, MH
    ENSHER, JR
    MATTHEWS, MR
    WIEMAN, CE
    CORNELL, EA
    [J]. SCIENCE, 1995, 269 (5221) : 198 - 201
  • [7] Observation of interference between two Bose condensates
    Andrews, MR
    Townsend, CG
    Miesner, HJ
    Durfee, DS
    Kurn, DM
    Ketterle, W
    [J]. SCIENCE, 1997, 275 (5300) : 637 - 641
  • [8] Bhattacharjee JK, 2007, INDIAN J PHYS, V81, P1115
  • [9] Impurity-induced quantum chaos for an ultracold bosonic ensemble in a double well
    Chen, Jie
    Keiler, Kevin
    Gao Xianlong
    Schmelcher, Peter
    [J]. PHYSICAL REVIEW A, 2021, 104 (03)
  • [10] Feshbach resonances in ultracold gases
    Chin, Cheng
    Grimm, Rudolf
    Julienne, Paul
    Tiesinga, Eite
    [J]. REVIEWS OF MODERN PHYSICS, 2010, 82 (02) : 1225 - 1286