Two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system

被引:28
|
作者
Parra-Murillo, Carlos A. [1 ,2 ]
Madronero, Javier [3 ]
Wimberger, Sandro [1 ,2 ]
机构
[1] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany
[2] Heidelberg Univ, Ctr Quantum Dynam, D-69120 Heidelberg, Germany
[3] Univ Valle, Dept Fis, Cali, Colombia
关键词
QUANTUM; ENERGY; LOCALIZATION; CHAOS; ATOMS;
D O I
10.1103/PhysRevA.88.032119
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study an experimentally realizable paradigm of complex many-body quantum systems, a two-band Wannier-Stark model, for which diffusion in Hilbert space as well as many-body Landau-Zener processes can be engineered. A crossover between regular and quantum chaotic spectra is found within the many-body avoided crossings at resonant tunneling conditions. The spectral properties are shown to determine the evolution of states across a cascade of Landau-Zener events. We apply the obtained spectral information to study the nonequilibrium dynamics of our many-body system in different parameter regimes.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] Many-body Landau-Zener tunneling in the Bose-Hubbard model
    Tomadin, Andrea
    Mannella, Riccardo
    Wimberger, Sandro
    PHYSICAL REVIEW A, 2008, 77 (01)
  • [2] Many-body interband tunneling as a witness of complex dynamics in the Bose-Hubbard model
    Tomadin, Andrea
    Mannella, Riccardo
    Wimberger, Sandro
    PHYSICAL REVIEW LETTERS, 2007, 98 (13)
  • [3] Exact numerical methods for a many-body Wannier-Stark system
    Parra-Murillo, Carlos A.
    Madronero, Javier
    Wimberger, Sandro
    COMPUTER PHYSICS COMMUNICATIONS, 2015, 186 : 19 - 30
  • [4] Chaotic level mixing in a two-band Bose-Hubbard model
    Parra-Murillo, Carlos A.
    Madronero, Javier
    Wimberger, Sandro
    ANNALEN DER PHYSIK, 2015, 527 (9-10) : 656 - 662
  • [5] Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath
    Wybo, Elisabeth
    Knap, Michael
    Pollmann, Frank
    PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2022, 259 (05):
  • [6] Many-body localization in the Bose-Hubbard model: Evidence for mobility edge
    Yao, Ruixiao
    Zakrzewski, Jakub
    PHYSICAL REVIEW B, 2020, 102 (01)
  • [7] Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
    Cosme, Jayson G.
    PHYSICAL REVIEW A, 2018, 97 (04)
  • [8] Manifold Approach for a Many-Body Wannier-Stark System: Localization and Chaos in Energy Space
    Parra-Murillo, C. A.
    Wimberger, S.
    ACTA PHYSICA POLONICA A, 2013, 124 (06) : 1091 - 1097
  • [9] Collapse and revival in inter-band oscillations of a two-band Bose-Hubbard model
    Ploetz, Patrick
    Madronero, Javier
    Wimberger, Sandro
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2010, 43 (08)
  • [10] Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
    Kaneko, Ryui
    Kunimi, Masaya
    Danshita, Ippei
    PHYSICAL REVIEW A, 2024, 109 (01)