[en] We show that quantum coherence produces an observable many-body signature in the dynamics of few-fermion Hubbard systems (describing cold atoms in optical lattices, coupled quantum dots, or small molecules) in the form of a revival in the transition probabilities echoing a flip of the system's itinerant spins. Contrary to its single-particle (Hahn) version, this many-body spin echo is not dephased by strong interactions or spin-orbit coupling, and constitutes a benchmark of genuine many-body coherence. A physical picture that allows for the analytical study of this nonperturbative effect is provided by a semiclassical approach in Fock space, where coherence arises from interfering amplitudes associated with multiple chaotic mean-field solutions with action degeneracies due to antiunitary symmetries. The analytical predictions resulting from our semiclassical approach are in excellent quantitative agreement with corresponding numerical simulations. The latter, moreover, confirm that the shape of the echo profile is independent of the interaction, while its amplitude and sign universally depend only on the number of flipped spins and the spin-orbit coupling phase.
Disciplines :
Physics
Author, co-author :
Engl, Thomas
Urbina, Juan Diego
Richter, Klaus
Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Language :
English
Title :
Many-body spin echo
Publication date :
2018
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
ISSN :
1050-2947
eISSN :
1094-1622
Publisher :
American Physical Society, United States - Maryland
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Bibliography
E. L. Hahn, Phys. Rev. 80, 580 (1950). PHRVAO 0031-899X 10.1103/PhysRev.80.580
V. N. Prigodin, B. L. Altshuler, K. B. Efetov, and S. Iida, Phys. Rev. Lett. 72, 546 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.546
A. Peres, Phys. Rev. A 30, 1610 (1984). 0556-2791 10.1103/PhysRevA.30.1610
J. H. Malmberg, C. B. Wharton, R. W. Gould, and T. M. O'Neil, Phys. Rev. Lett. 20, 95 (1968). PRLTAO 0031-9007 10.1103/PhysRevLett.20.95
R. Pierrat, C. Vandenbem, M. Fink, and R. Carminati, Phys. Rev. A 87, 041801 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.87.041801
J. R. Klauder and P. W. Anderson, Phys. Rev. 125, 912 (1962). PHRVAO 0031-899X 10.1103/PhysRev.125.912
R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490
E. Abe, K. M. Itoh, J. Isoya, and S. Yamasaki, Phys. Rev. B 70, 033204 (2004). PRBMDO 1098-0121 10.1103/PhysRevB.70.033204
W. M. Witzel, R. de Sousa, and S. Das Sarma, Phys. Rev. B 72, 161306 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.72.161306
T. Micklitz, C. A. Müller, and A. Altland, Phys. Rev. B 91, 064203 (2015). PRBMDO 1098-0121 10.1103/PhysRevB.91.064203
K. Müller, J. Richard, V. V. Volchkov, V. Denechaud, P. Bouyer, A. Aspect, and V. Josse, Phys. Rev. Lett. 114, 205301 (2015). PRLTAO 0031-9007 10.1103/PhysRevLett.114.205301
X. X. Yi, H. Wang, and W. Wang, Eur. Phys. J. D 45, 355 (2007). EPJDF6 1434-6060 10.1140/epjd/e2007-00266-6
W.-L. Ma, G. Wolfowicz, N. Zhao, S.-S. Li, J. J. L. Morton, and R.-B. Liu, Nat. Commun. 5, 4822 (2014). 2041-1723 10.1038/ncomms5822
L. Luan, M. S. Grinolds, S. Hong, P. Maletinsky, R. L. Walsworth, and A. Yacoby, Sci. Rep. 5, 8119 (2015). 2045-2322 10.1038/srep08119
C. Solaro, A. Bonnin, F. Combes, M. Lopez, X. Alauze, J.-N. Fuchs, F. Piéchon, and F. Pereira Dos Santos, Phys. Rev. Lett. 117, 163003 (2016). PRLTAO 0031-9007 10.1103/PhysRevLett.117.163003
M. Knap, A. Kantian, T. Giamarchi, I. Bloch, M. D. Lukin, and E. Demler, Phys. Rev. Lett. 111, 147205 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.147205
M. Serbyn, M. Knap, S. Gopalakrishnan, Z. Papić, N. Y. Yao, C. R. Laumann, D. A. Abanin, M. D. Lukin, and E. A. Demler, Phys. Rev. Lett. 113, 147204 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.147204
Y. A. Bychkov and E. I. Rashba, J. Phys. C: Solid State Phys. 17, 6039 (1984). JPSOAW 0022-3719 10.1088/0022-3719/17/33/015
G. Dresselhaus, Phys. Rev. 100, 580 (1955). PHRVAO 0031-899X 10.1103/PhysRev.100.580
Y.-J. Lin, K. Jiménez-García, and I. B. Spielman, Nature (London) 471, 83 (2011). NATUAS 0028-0836 10.1038/nature09887
F. R. Waugh, M. J. Berry, D. J. Mar, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Phys. Rev. Lett. 75, 705 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.705
C. Livermore, C. H. Crouch, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Science 274, 1332 (1996). SCIEAS 0036-8075 10.1126/science.274.5291.1332
W. Lu, Z. Ji, L. Pfeiffer, K. W. West, and A. J. Rimberg, Nature (London) 423, 422 (2003). NATUAS 0028-0836 10.1038/nature01642
J. M. Elzerman, R. Hanson, L. H. Willems van Beveren, B. Witkamp, L. M. K. Vandersypen, and L. P. Kouwenhoven, Nature (London) 430, 431 (2004). NATUAS 0028-0836 10.1038/nature02693
F. Koppens, C. Buizert, K. Tielrooij, I. Vink, K. Nowack, T. Meunier, L. Kouwenhoven, and L. Vandersypen, Nature (London) 442, 766 (2006). NATUAS 0028-0836 10.1038/nature05065
M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen(De), and U. Sen, Adv. Phys. 56, 243 (2007). ADPHAH 0001-8732 10.1080/00018730701223200
R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen, Rev. Mod. Phys. 79, 1217 (2007). RMPHAT 0034-6861 10.1103/RevModPhys.79.1217
K. C. Nowack, F. H. L. Koppens, Y. V. Nazarov, and L. M. K. Vandersypen, Science 318, 1430 (2007). SCIEAS 0036-8075 10.1126/science.1148092
N. Lambert, I. Mahboob, M. Pioro-Ladrière, Y. Tokura, S. Tarucha, and H. Yamaguchi, Phys. Rev. Lett. 100, 136802 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.136802
R. Hanson and D. Awschalom, Nature (London) 453, 1043 (2008). NATUAS 0028-0836 10.1038/nature07129
J. Berezovsky, M. H. Mikkelsen, N. G. Stoltz, L. A. Coldren, and D. D. Awschalom, Science 320, 349 (2008). SCIEAS 0036-8075 10.1126/science.1154798
D. Press, T. Ladd, B. Zhang, and Y. Yamamoto, Nature (London) 456, 218 (2008). NATUAS 0028-0836 10.1038/nature07530
W. S. Bakr, J. I. Gillen, A. Peng, S. Fölling, and M. Greiner, Nature (London) 462, 74 (2009). NATUAS 0028-0836 10.1038/nature08482
D. Press, K. De Greve, P. L. McMahon, T. D. Ladd, B. Friess, C. Schneider, M. Kamp, S. Höfling, A. Forchel, and Y. Yamamoto, Nat. Photonics 4, 367 (2010). 1749-4885 10.1038/nphoton.2010.83
J. D. Sau, R. Sensarma, S. Powell, I. B. Spielman, and S. Das Sarma, Phys. Rev. B 83, 140510 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.140510
D. L. Campbell, G. Juzeliūnas, and I. B. Spielman, Phys. Rev. A 84, 025602 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.025602
S. Yang, X. Wang, and S. Das Sarma, Phys. Rev. B 83, 161301 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.161301
B. Küng, C. Rössler, M. Beck, J. Faist, T. Ihn, and K. Ensslin, New J. Phys. 14, 083003 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/8/083003
R. Thalineau, S. Hermelin, A. D. Wieck, C. Bäuerle, L. Saminadayar, and T. Meunier, Appl. Phys. Lett. 101, 103102 (2012). APPLAB 0003-6951 10.1063/1.4749811
P. M. Preiss, R. Ma, M. E. Tai, J. Simon, and M. Greiner, Phys. Rev. A 91, 041602 (2015). PLRAAN 1050-2947 10.1103/PhysRevA.91.041602
T. Hensgens, T. Fujita, L. Janssen, X. Li, C. Van Diepen, C. Reichl, W. Wegscheider, S. Das Sarma, and L. Vandersypen, Nature (London) 548, 70 (2017). NATUAS 0028-0836 10.1038/nature23022
T. J. Park and J. C. Light, J. Chem. Phys. 85, 5870 (1986). JCPSA6 0021-9606 10.1063/1.451548
T. Engl, J. Dujardin, A. Argüelles, P. Schlagheck, K. Richter, and J. D. Urbina, Phys. Rev. Lett. 112, 140403 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.112.140403
T. Engl, P. Plößl, J. D. Urbina, and K. Richter, Theoret. Chem. Accounts 133, 1563 (2014). 1432-881X 10.1007/s00214-014-1563-9
S. Grosse-Holz, T. Engl, K. Richter, and J. D. Urbina, Acta Phys. Pol. A 128, 994 (2015). ATPLB6 0587-4246 10.12693/APhysPolA.128.994
O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.52.1
M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
M. Sieber and K. Richter, Phys. Scr. T90, 128 (2001). PHSTBO 0031-8949 10.1238/Physica.Topical.090a00128
K. Richter and M. Sieber, Phys. Rev. Lett. 89, 206801 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.206801
M. Turek, D. Spehner, S. Müller, and K. Richter, Phys. Rev. E 71, 016210 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.71.016210
S. Heusler, S. Müller, P. Braun, and F. Haake, J. Phys. A: Math. Gen. 37, L31 (2004). JPHAC5 0305-4470 10.1088/0305-4470/37/3/L02
S. Heusler, S. Müller, P. Braun, and F. Haake, Phys. Rev. Lett. 96, 066804 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.066804
A. M. Kaufman, M. E. Tai, A. Lukin, M. Rispoli, R. Schittko, P. M. Preiss, and M. Greiner, Science 353, 794 (2016). SCIEAS 0036-8075 10.1126/science.aaf6725
J. Rammensee, J.-D. Urbina, and K. Richter, arXiv:1805.06377.
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