Thirring quantum cellular automaton

被引:28
作者
Bisio, Alessandro [1 ]
D'Ariano, Giacomo Mauro [1 ]
Perinotti, Paolo [1 ]
Tosini, Alessandro [1 ]
机构
[1] Univ Pavia, Dipartimento Fis, Via Bassi 6, I-27100 Pavia, Italy
关键词
LATTICE; EQUATION; DIRAC; FIELD; MODEL;
D O I
10.1103/PhysRevA.97.032132
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We analytically diagonalize a discrete-time on-site interacting fermionic cellular automaton in the two-particle sector. Important features of the solutions sensibly differ from those of analogous Hamiltonian models. In particular, we find a wider variety of scattering processes, we have bound states for every value of the total momentum, and there exist bound states also in the free case, where the coupling constant is null.
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收藏
页数:8
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共 36 条
[21]  
Essler F. H. L., 2005, The one-dimensional Hubbard model
[22]   SIMULATING PHYSICS WITH COMPUTERS [J].
FEYNMAN, RP .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1982, 21 (6-7) :467-488
[23]   Index Theory of One Dimensional Quantum Walks and Cellular Automata [J].
Gross, D. ;
Nesme, V. ;
Vogts, H. ;
Werner, R. F. .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 310 (02) :419-454
[25]   Controlling oxide surface dipole and reactivity with intrinsic nonstoichiometric epitaxial reconstructions [J].
Kim, Seungchul ;
Sinai, Ofer ;
Lee, Chan-Woo ;
Rappe, Andrew M. .
PHYSICAL REVIEW B, 2015, 92 (23)
[26]   DIRECT CALCULATION OF THE S-MATRIX IN THE MASSIVE THIRRING MODEL [J].
KOREPIN, VE .
THEORETICAL AND MATHEMATICAL PHYSICS, 1979, 41 (02) :953-967
[27]   ABSENCE OF MOTT TRANSITION IN AN EXACT SOLUTION OF SHORT-RANGE 1-BAND MODEL IN 1 DIMENSION [J].
LIEB, EH ;
WU, FY .
PHYSICAL REVIEW LETTERS, 1968, 20 (25) :1445-+
[28]   Universal quantum computation using the discrete-time quantum walk [J].
Lovett, Neil B. ;
Cooper, Sally ;
Everitt, Matthew ;
Trevers, Matthew ;
Kendon, Viv .
PHYSICAL REVIEW A, 2010, 81 (04)
[29]   Quantum mechanics of lattice gas automata: One-particle plane waves and potentials [J].
Meyer, DA .
PHYSICAL REVIEW E, 1997, 55 (05) :5261-5269
[30]   From quantum cellular automata to quantum lattice gases [J].
Meyer, DA .
JOURNAL OF STATISTICAL PHYSICS, 1996, 85 (5-6) :551-574