Quantum walks as massless Dirac fermions in curved space-time

被引:75
|
作者
Di Molfetta, Giuseppe [1 ,2 ]
Brachet, M. [3 ]
Debbasch, Fabrice [1 ,2 ]
机构
[1] UPMC, UMR 8112, F-75014 Paris, France
[2] Observ Paris, F-75014 Paris, France
[3] CNRS, Lab Phys Stat Ecole Normale Super, F-75231 Paris 05, France
来源
PHYSICAL REVIEW A | 2013年 / 88卷 / 04期
关键词
DYNAMICS;
D O I
10.1103/PhysRevA.88.042301
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A particular family of time- and space-dependent discrete-time quantum walks (QWs) is considered in one-dimensional physical space. The continuous limit of these walks is defined through a procedure discussed here and computed in full detail. In this limit, the walks coincide with the propagation of a massless Dirac fermion in an arbitrary gravitational field. A QW mimicking the radial propagation of a fermion outside and inside the event horizon of a Schwarzschild black hole is explicitly constructed and simulated numerically. Thus, the family of QWs considered in our manuscript provides an analog system to study experimentally coherent quantum propagation in curved spacetime.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Massless Dirac Fermions on a Space-Time Lattice with a Topologically Protected Dirac Cone
    Vela, A. Donis
    Pacholski, M. J.
    Lemut, G.
    Tworzydlo, G.
    Beenakker, C. W. J.
    [J]. ANNALEN DER PHYSIK, 2022, 534 (12)
  • [2] QUANTUM NUMBERS FOR DIRAC SPINOR FIELDS ON A CURVED SPACE-TIME
    MCLENAGHAN, RG
    SPINDEL, P
    [J]. PHYSICAL REVIEW D, 1979, 20 (02): : 409 - 413
  • [3] ON THE DIRAC EQUATION IN CURVED SPACE-TIME
    Pollock, M. D.
    [J]. ACTA PHYSICA POLONICA B, 2010, 41 (08): : 1827 - 1846
  • [4] DIRAC FIELDS IN A CURVED SPACE-TIME
    GRIFFITHS, JB
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (12): : 2429 - 2435
  • [5] Quantum transport of massless dirac fermions
    Nomura, Kentaro
    MacDonald, A. H.
    [J]. PHYSICAL REVIEW LETTERS, 2007, 98 (07)
  • [6] Fermions without vierbeins in curved space-time
    Weldon, HA
    [J]. PHYSICAL REVIEW D, 2001, 63 (10):
  • [7] Free massless particle Dirac like wave equations of any spin in curved space-time
    Moalem, Amnon
    Gersten, Alexander
    [J]. 10TH BIENNIAL CONFERENCE ON CLASSICAL AND QUANTUM RELATIVISTIC DYNAMICS OF PARTICLES AND FIELDS, 2017, 845
  • [8] MASSLESS FIELDS IN CURVED SPACE-TIME - THE CONFORMAL FORMALISM
    CASTAGNINO, MA
    SZTRAJMAN, JB
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (04) : 1037 - 1047
  • [9] Fermions with electric dipole moment in curved space-time
    Araujo Filho, A. A.
    Hassanabadi, H.
    Reis, J. A. A. S.
    Lisboa-Santos, L.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2024, 39 (19N20):
  • [10] SPINOR UNDER SPACE-TIME GAUGE AND DIRAC-EQUATION IN CURVED SPACE-TIME
    WANG, RC
    LU, JF
    XIANG, SP
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1985, 86 (01): : 1 - 10