Spin transport in a long-range-interacting spin chain

被引:24
作者
Kloss, Benedikt [1 ]
Bar Lev, Yevgeny [2 ]
机构
[1] Columbia Univ, Dept Chem, 3000 Broadway, New York, NY 10027 USA
[2] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel
基金
美国国家科学基金会;
关键词
MATRIX RENORMALIZATION-GROUP; VIBRATIONAL-MODES; COUPLED ELECTRON; QUANTUM; DYNAMICS; DELOCALIZATION; LOCALIZATION; ENTANGLEMENT; PROPAGATION; TIME;
D O I
10.1103/PhysRevA.99.032114
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We numerically study spin transport and spin-density profiles after a local quench in a clean one-dimensional spin chain with long-range interactions, decaying as a power law, r(-alpha) with distance. We find two distinct regimes of transport: for alpha < 1/2, spin excitations relax instantaneously in the thermodynamic limit, and for alpha > 1/2, spin transport combines both diffusive and superdiffusive features. We show that while for alpha > 3/2 the spin diffusion coefficient is finite, transport in the system is never strictly diffusive, contrary to corresponding classical systems.
引用
收藏
页数:7
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共 61 条
[41]   The ergodic side of the many-body localization transition [J].
Luitz, David J. ;
Lev, Yevgeny Bar .
ANNALEN DER PHYSIK, 2017, 529 (07)
[42]   Causality and quantum criticality in long-range lattice models [J].
Maghrebi, Mohammad F. ;
Gong, Zhe-Xuan ;
Foss-Feig, Michael ;
Gorshkov, Alexey V. .
PHYSICAL REVIEW B, 2016, 93 (12)
[43]   The random walk's guide to anomalous diffusion: a fractional dynamics approach [J].
Metzler, R ;
Klafter, J .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 339 (01) :1-77
[44]   Quantum register based on coupled electron spins in a room-temperature solid [J].
Neumann, P. ;
Kolesov, R. ;
Naydenov, B. ;
Beck, J. ;
Rempp, F. ;
Steiner, M. ;
Jacques, V. ;
Balasubramanian, G. ;
Markham, M. L. ;
Twitchen, D. J. ;
Pezzagna, S. ;
Meijer, J. ;
Twamley, J. ;
Jelezko, F. ;
Wrachtrup, J. .
NATURE PHYSICS, 2010, 6 (04) :249-253
[45]   Non-local propagation of correlations in quantum systems with long-range interactions [J].
Richerme, Philip ;
Gong, Zhe-Xuan ;
Lee, Aaron ;
Senko, Crystal ;
Smith, Jacob ;
Foss-Feig, Michael ;
Michalakis, Spyridon ;
Gorshkov, Alexey V. ;
Monroe, Christopher .
NATURE, 2014, 511 (7508) :198-+
[46]   Quantum information with Rydberg atoms [J].
Saffman, M. ;
Walker, T. G. ;
Molmer, K. .
REVIEWS OF MODERN PHYSICS, 2010, 82 (03) :2313-2363
[47]   Observation of spatially ordered structures in a two-dimensional Rydberg gas [J].
Schauss, Peter ;
Cheneau, Marc ;
Endres, Manuel ;
Fukuhara, Takeshi ;
Hild, Sebastian ;
Omran, Ahmed ;
Pohl, Thomas ;
Gross, Christian ;
Kuhr, Stefan ;
Bloch, Immanuel .
NATURE, 2012, 491 (7422) :87-91
[48]   The density-matrix renormalization group in the age of matrix product states [J].
Schollwoeck, Ulrich .
ANNALS OF PHYSICS, 2011, 326 (01) :96-192
[49]   Scaling of diffusion constants in the spin-1/2 XX ladder [J].
Steinigeweg, R. ;
Heidrich-Meisner, F. ;
Gemmer, J. ;
Michielsen, K. ;
De Raedt, H. .
PHYSICAL REVIEW B, 2014, 90 (09)
[50]   Interplay of soundcone and supersonic propagation in lattice models with power law interactions [J].
Storch, David-Maximilian ;
van den Worm, Mauritz ;
Kastner, Michael .
NEW JOURNAL OF PHYSICS, 2015, 17