Berezinskii Approach to Disordered Spin Systems with Asymmetric Scattering and Application to the Quantum Boomerang Effect
Main Article Content
Abstract
We extend the Berezinskii diagrammatic technique to one-dimensional disordered spin systems, in which time-reversal invariance is broken due to a spin–orbit coupling term inducing left–right asymmetric scattering. We then use this formalism to theoretically describe the dynamics of the quantum boomerang effect, a recently discovered manifestation of Anderson localization. The theoretical results are confirmed by exact numerical simulations of wave-packet dynamics in a random potential.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
P.W. Anderson, Phys. Rev. 109, 1492 (1958)
J. Billy, V. Josse, Z. Zuo et al., Nature 453, 891 (2008)
G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, M. Inguscio, Nature 453, 895 (2008)
G. Semeghini, M. Landini, P. Castilho, S. Roy, G. Spagnolli, A. Trenkwalder, M. Fattori, M. Inguscio, G. Modugno, Nat. Phys. 11, 554 (2015)
F. Jendrzejewski, A. Bernard, K. Müller et al., Nat. Phys. 8, 398 (2012)
N. Cherroret, T. Karpiuk, C.A. Müller, B. Grémaud, C. Miniatura, Phys. Rev. A 85, 011604 (2012)
S. Ghosh, D. Delande, C. Miniatura, N. Cherroret, Phys. Rev. Lett. 115, 200602 (2015)
L.A. Cobus, S.E. Skipetrov, A. Aubry, B.A. van Tiggelen, A. Derode, J.H. Page, Phys. Rev. Lett. 116, 193901 (2016)
C. Hainaut, I. Manai, R. Chicireanu, J.F. Clément, S. Zemmouri, J.C. Garreau, P. Szriftgiser, G. Lemarié, N. Cherroret, D. Delande, Phys. Rev. Lett. 118, 184101 (2017)
C. Hainaut, I. Manai, J.-F. Clément, J.C. Garreau, P. Szriftgiser, G. Lemarié, N. Cherroret, D. Delande, R. Chicireanu, Nat. Commun. 9, 1382 (2018)
T. Karpiuk, N. Cherroret, K.L. Lee, B. Grémaud, C.A. Müller, C. Miniatura, Phys. Rev. Lett. 109, 190601 (2012)
S. Ghosh, N. Cherroret, B. Grémaud, C. Miniatura, D. Delande, Phys. Rev. A 90, 063602 (2014)
K.L. Lee, B. Grémaud, C. Miniatura, Phys. Rev. A 90, 043605 (2014)
N. Cherroret, T. Scoquart, D. Delande, Ann. Phys. 435, 168543 (2021)
T. Prat, D. Delande, N. Cherroret, Phys. Rev. A 99, 023629 (2019)
L. Tessieri, Z. Akdeniz, N. Cherroret, D. Delande, P. Vignolo, Phys. Rev. A 103, 063316 (2021)
R. Sajjad, J.L. Tanlimco, H. Mas et al., Phys. Rev. X 12, 011035 (2022)
J. Janarek, B. Grémaud, J. Zakrzewski, D. Delande, Phys. Rev. B 105, L180202 (2022)
F. Noronha, J.A.S. Lourenço, T. Macrí, Phys. Rev. B 106, 104310 (2022)
F. Noronha, T. Macrí, Phys. Rev. B 106, L060301 (2022)
L. Sanchez-Palencia, D. Clément, P. Lugan, P. Bouyer, G.V. Shlyapnikov, A. Aspect, Phys. Rev. Lett. 98, 210401 (2007)
S.E. Skipetrov, A. Minguzzi, B.A. van Tiggelen, B. Shapiro, Phys. Rev. Lett. 100, 165301 (2008)
B. Shapiro, J. Phys. A: Math. Theor. 45, 143001 (2012)
V.L. Berezinskii, Zh. Eksp. Teor. Fiz. 65, 1251 (1973) [Sov. Phys. JETP 38, 620 (1974)
A.A. Gogolin, Sov. Phys. JETP 44, 1003 (1976)
J.P.R. Valdes, T. Wellens, Phys. Rev. A 93, 063634 (2016)
B. Suleymanli, E. Nakhmedov, F. Tatardar, B. Tanatar, Physica E: Low-dimen. Syst. Nanostruct. 146, 115550 (2023)
Y.-J. Lin, K. Jiménez-García, I.B. Spielman, Nature 471, 83 (2011)
C. Hamner, Y. Zhang, M.A. Khamehchi, M.J. Davis, P. Engels, Phys. Rev. Lett. 114, 070401 (2015)
E. Akkermans, G. Montambaux, Mesoscopic Physics of Electrons and Photons, Cambridge University Press, Cambridge 2007
C.A. Müller, D. Delande, Lecture Notes of the Les Houches Summer School in Singapore, Vol. 91, Oxford University Press, Oxford 2011, p. 441
A.A. Gogolin, V.L. Mel'nikov, E.I. Rashba, Sov. Phys. JETP 42, 168 (1976)
T. Prat, Ph.D. Thesis, Université Pierre et Marie Curie (Paris), 2017
J. Janarek, Ph.D. Thesis, Sorbonne Université (Paris), Uniwersytet Jagielloński w Krakowie 2021
G.A. Baker, Essentials of Padé approximants, Academic Press, 1975