Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos

DEL CAMPO ECHEVARRIA, Adolfo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

Cornelius, Julien

Xu, Zhenyu

Saxena, Avadh

Co-auteurs externes :

yes

Langue du document :

Anglais

Titre :

Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos

Date de publication/diffusion :

13 mai 2022

Titre du périodique :

Physical Review Letters

ISSN :

0031-9007

eISSN :

1079-7114

Maison d'édition :

American Physical Society, New York, Etats-Unis - New York

Peer reviewed :

Peer reviewed vérifié par ORBi

Disponible sur ORBilu :

depuis le 08 septembre 2022

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103 (dont 8 Unilu)

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Y. Ashida, Z. Gong, and M. Ueda, Adv. Phys. 69, 249 (2020). ADPHAH 0001-8732 10.1080/00018732.2021.1876991
G. Gamow, Z. Phys. 51, 204 (1928). ZEPYAA 0044-3328 10.1007/BF01343196
R. Levine, Quantum Mechanics of Molecular Rate Processes (Dover Publications, New York, 2011).
M. B. Plenio and P. L. Knight, Rev. Mod. Phys. 70, 101 (1998). RMPHAT 0034-6861 10.1103/RevModPhys.70.101
T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998). PRPLCM 0370-1573 10.1016/S0370-1573(97)00088-4
F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 2010).
F. Borgonovi, F. Izrailev, L. Santos, and V. Zelevinsky, Phys. Rep. 626, 1 (2016). PRPLCM 0370-1573 10.1016/j.physrep.2016.02.005
O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.52.1
L. Leviandier, M. Lombardi, R. Jost, and J. P. Pique, Phys. Rev. Lett. 56, 2449 (1986). PRLTAO 0031-9007 10.1103/PhysRevLett.56.2449
J. Wilkie and P. Brumer, Phys. Rev. Lett. 67, 1185 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.67.1185
Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.572
J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995). JUPSAU 0031-9015 10.1143/JPSJ.64.4059
J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker, D. Stanford, A. Streicher, and M. Tezuka, J. High Energy Phys. 05 (2017) 118. JHEPFG 1029-8479 10.1007/JHEP05(2017)118
E. Dyer and G. Gur-Ari, J. High Energy Phys. 08 (2017) 075. JHEPFG 1029-8479 10.1007/JHEP08(2017)075
A. del Campo, J. Molina-Vilaplana, and J. Sonner, Phys. Rev. D 95, 126008 (2017). PRVDAQ 2470-0010 10.1103/PhysRevD.95.126008
T. Gorin, T. Prosen, T. H. Seligman, and M. Žnidarič, Phys. Rep. 435, 33 (2006). PRPLCM 0370-1573 10.1016/j.physrep.2006.09.003
P. Jacquod and C. Petitjean, Adv. Phys. 58, 67 (2009). ADPHAH 0001-8732 10.1080/00018730902831009
B. Yan, L. Cincio, and W. H. Zurek, Phys. Rev. Lett. 124, 160603 (2020). PRLTAO 0031-9007 10.1103/PhysRevLett.124.160603
A. Chenu, I. L. Egusquiza, J. Molina-Vilaplana, and A. del Campo, Sci. Rep. 8, 12634 (2018). SRCEC3 2045-2322 10.1038/s41598-018-30982-w
I. García-Mata, A. J. Roncaglia, and D. A. Wisniacki, Phys. Rev. E 95, 050102(R) (2017). PRESCM 2470-0045 10.1103/PhysRevE.95.050102
E. G. Arrais, D. A. Wisniacki, L. C. Céleri, N. G. de Almeida, A. J. Roncaglia, and F. Toscano, Phys. Rev. E 98, 012106 (2018). PRESCM 2470-0045 10.1103/PhysRevE.98.012106
A. Chenu, J. Molina-Vilaplana, and A. del Campo, Quantum 3, 127 (2019). 2521-327X 10.22331/q-2019-03-04-127
M. R. Wall and D. Neuhauser, J. Chem. Phys. 102, 8011 (1995). JCPSA6 0021-9606 10.1063/1.468999
V. A. Mandelshtam and H. S. Taylor, J. Chem. Phys. 106, 5085 (1997). JCPSA6 0021-9606 10.1063/1.473554
H. Gharibyan, M. Hanada, S. H. Shenker, and M. Tezuka, J. High Energy Phys. 07 (2018) 124. JHEPFG 1029-8479 10.1007/JHEP07(2018)124
M. Schiulaz, E. J. Torres-Herrera, and L. F. Santos, Phys. Rev. B 99, 174313 (2019). PRBMDO 2469-9950 10.1103/PhysRevB.99.174313
J. Šuntajs, J. Bonča, T. Prosen, and L. Vidmar, Phys. Rev. E 102, 062144 (2020). PRESCM 2470-0045 10.1103/PhysRevE.102.062144
D. Braun, Dissipative Quantum Chaos and Decoherence, Springer Tracts in Modern Physics (Springer, Berlin Heidelberg, 2003).
M. L. Mehta, Random Matrices, 3rd ed. (Elsevier, San Diego, 2004).
S. Denisov, T. Laptyeva, W. Tarnowski, D. Chruściński, and K. Zyczkowski, Phys. Rev. Lett. 123, 140403 (2019). PRLTAO 0031-9007 10.1103/PhysRevLett.123.140403
T. Can, J. Phys. A 52, 485302 (2019). JPAMB5 1751-8113 10.1088/1751-8121/ab4d26
T. Can, V. Oganesyan, D. Orgad, and S. Gopalakrishnan, Phys. Rev. Lett. 123, 234103 (2019). PRLTAO 0031-9007 10.1103/PhysRevLett.123.234103
L. Sá, P. Ribeiro, and T. Prosen, Phys. Rev. X 10, 021019 (2020). PRXHAE 2160-3308 10.1103/PhysRevX.10.021019
L. Sá, P. Ribeiro, T. Can, and T. Prosen, Phys. Rev. B 102, 134310 (2020). PRBMDO 2469-9950 10.1103/PhysRevB.102.134310
K. Wang, F. Piazza, and D. J. Luitz, Phys. Rev. Lett. 124, 100604 (2020). PRLTAO 0031-9007 10.1103/PhysRevLett.124.100604
F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H.-J. Sommers, Z. Phys. B 88, 359 (1992). ZPCMDN 0722-3277 10.1007/BF01470925
G. Akemann, M. Kieburg, A. Mielke, and T. Prosen, Phys. Rev. Lett. 123, 254101 (2019). PRLTAO 0031-9007 10.1103/PhysRevLett.123.254101
J. Li, T. Prosen, and A. Chan, Phys. Rev. Lett. 127, 170602 (2021). PRLTAO 0031-9007 10.1103/PhysRevLett.127.170602
Z. Xu, L. P. García-Pintos, A. Chenu, and A. del Campo, Phys. Rev. Lett. 122, 014103 (2019). PRLTAO 0031-9007 10.1103/PhysRevLett.122.014103
A. del Campo and T. Takayanagi, J. High Energy Phys. 02 (2020) 170. JHEPFG 1029-8479 10.1007/JHEP02(2020)170
Z. Xu, A. Chenu, T. Prosen, and A. del Campo, Phys. Rev. B 103, 064309 (2021). PRBMDO 2469-9950 10.1103/PhysRevB.103.064309
F. M. Cucchietti, D. A. R. Dalvit, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. 91, 210403 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.210403
W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003). RMPHAT 0034-6861 10.1103/RevModPhys.75.715
S. Habib, K. Jacobs, and K. Shizume, Phys. Rev. Lett. 96, 010403 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.010403
J. Rammensee, J. D. Urbina, and K. Richter, Phys. Rev. Lett. 121, 124101 (2018). PRLTAO 0031-9007 10.1103/PhysRevLett.121.124101
A. Touil and S. Deffner, PRX Quantum 2, 010306 (2021). 2691-3399 10.1103/PRXQuantum.2.010306
P. Zanardi and N. Anand, Phys. Rev. A 103, 062214 (2021). PLRAAN 2469-9926 10.1103/PhysRevA.103.062214
N. Anand, G. Styliaris, M. Kumari, and P. Zanardi, Phys. Rev. Research 3, 023214 (2021). PPRHAI 2643-1564 10.1103/PhysRevResearch.3.023214
G. Lindblad, Commun. Math. Phys. 48, 119 (1976). CMPHAY 0010-3616 10.1007/BF01608499
H. Carmichael, Statistical Methods in Quantum Optics 2: Non-Classical Fields, Theoretical and Mathematical Physics (Springer Berlin Heidelberg, 2009).
D. C. Brody and E.-M. Graefe, Phys. Rev. Lett. 109, 230405 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.230405
C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.5243
C. M. Bender, Rep. Prog. Phys. 70, 947 (2007). RPPHAG 0034-4885 10.1088/0034-4885/70/6/R03
J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, Phys. Rev. A 84, 040101(R) (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.040101
B. Peng, Ş. K. Özdemir, F. Lei, F. Monifi, M. Gianfreda, G. L. Long, S. Fan, F. Nori, C. M. Bender, and L. Yang, Nat. Phys. 10, 394 (2014). NPAHAX 1745-2473 10.1038/nphys2927
B. Peng, Ş. K. Özdemir, S. Rotter, H. Yilmaz, M. Liertzer, F. Monifi, C. M. Bender, F. Nori, and L. Yang, Science 346, 328 (2014). SCIEAS 0036-8075 10.1126/science.1258004
L. Chang, X. Jiang, S. Hua, C. Yang, J. Wen, L. Jiang, G. Li, G. Wang, and M. Xiao, Nat. Photonics 8, 524 (2014). NPAHBY 1749-4885 10.1038/nphoton.2014.133
L. Feng, Z. J. Wong, R.-M. Ma, Y. Wang, and X. Zhang, Science 346, 972 (2014). SCIEAS 0036-8075 10.1126/science.1258479
N. Gisin, Phys. Rev. Lett. 52, 1657 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.52.1657
J. K. Korbicz, E. A. Aguilar, P. C¨wikliński, and P. Horodecki, Phys. Rev. A 96, 032124 (2017). PLRAAN 2469-9926 10.1103/PhysRevA.96.032124
I. L. Egusquiza, L. J. Garay, and J. M. Raya, Phys. Rev. A 59, 3236 (1999). PLRAAN 1050-2947 10.1103/PhysRevA.59.3236
G. J. Milburn, Phys. Rev. A 44, 5401 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.44.5401
S. L. Adler, Phys. Rev. D 67, 025007 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.025007
I. C. Percival, Proc. R. Soc. A 447, 189 (1994). PRLAAZ 1364-5021 10.1098/rspa.1994.0135
A. Bassi and G. Ghirardi, Phys. Rep. 379, 257 (2003). PRPLCM 0370-1573 10.1016/S0370-1573(03)00103-0
A. Bassi, K. Lochan, S. Satin, T. P. Singh, and H. Ulbricht, Rev. Mod. Phys. 85, 471 (2013). RMPHAT 0034-6861 10.1103/RevModPhys.85.471
A. Chenu, M. Beau, J. Cao, and A. del Campo, Phys. Rev. Lett. 118, 140403 (2017). PRLTAO 0031-9007 10.1103/PhysRevLett.118.140403
S. Sachdev and J. Ye, Phys. Rev. Lett. 70, 3339 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.3339
A. Kitaev, A simple model of quantum holography, in Proceedings at KITP (unpublished).
I. Danshita, M. Hanada, and M. Tezuka, Prog. Theor. Exp. Phys. 2017, 083I01 (2017). PTEPCR 2050-3911 10.1093/ptep/ptx108
L. García-Álvarez, I. L. Egusquiza, L. Lamata, A. del Campo, J. Sonner, and E. Solano, Phys. Rev. Lett. 119, 040501 (2017). PRLTAO 0031-9007 10.1103/PhysRevLett.119.040501
D. I. Pikulin and M. Franz, Phys. Rev. X 7, 031006 (2017). PRXHAE 2160-3308 10.1103/PhysRevX.7.031006
R. Babbush, D. W. Berry, and H. Neven, Phys. Rev. A 99, 040301(R) (2019). PLRAAN 2469-9926 10.1103/PhysRevA.99.040301
Z. Luo, Y.-Z. You, J. Li, C.-M. Jian, D. Lu, C. Xu, B. Zeng, and R. Laflamme, npj Quantum Inf. 5, 53 (2019). 2056-6387 10.1038/s41534-019-0166-7
See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.128.190402 for details regarding the nonlinear master equation, the SFF with general filters, the BGL dynamics in the SYK and random-matrix Hamiltonians, and the role of decoherence under BGL.
A. R. Kolovsky and D. L. Shepelyansky, Ann. Phys. (Berlin) 531, 1900231 (2019). ANPYA2 0003-3804 10.1002/andp.201900231
C. N. Yang and T. D. Lee, Phys. Rev. 87, 404 (1952). PHRVAO 0031-899X 10.1103/PhysRev.87.404
T. D. Lee and C. N. Yang, Phys. Rev. 87, 410 (1952). PHRVAO 0031-899X 10.1103/PhysRev.87.410
B.-B. Wei and R.-B. Liu, Phys. Rev. Lett. 109, 185701 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.185701
B.-B. Wei, S.-W. Chen, H.-C. Po, and R.-B. Liu, Sci. Rep. 4, 5202 (2014). SRCEC3 2045-2322 10.1038/srep05202
Z. Xu and A. del Campo, Phys. Rev. Lett. 122, 160602 (2019). PRLTAO 0031-9007 10.1103/PhysRevLett.122.160602
R. Dorner, S. R. Clark, L. Heaney, R. Fazio, J. Goold, and V. Vedral, Phys. Rev. Lett. 110, 230601 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.230601
L. Mazzola, G. De Chiara, and M. Paternostro, Phys. Rev. Lett. 110, 230602 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.230602
A. Recati, P. O. Fedichev, W. Zwerger, J. von Delft, and P. Zoller, Phys. Rev. Lett. 94, 040404 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.040404
J. Goold, T. Fogarty, N. Lo Gullo, M. Paternostro, and T. Busch, Phys. Rev. A 84, 063632 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.063632
M. Knap, A. Shashi, Y. Nishida, A. Imambekov, D. A. Abanin, and E. Demler, Phys. Rev. X 2, 041020 (2012). PRXHAE 2160-3308 10.1103/PhysRevX.2.041020
D. Hangleiter, M. T. Mitchison, T. H. Johnson, M. Bruderer, M. B. Plenio, and D. Jaksch, Phys. Rev. A 91, 013611 (2015). PLRAAN 1050-2947 10.1103/PhysRevA.91.013611
T. J. Elliott and T. H. Johnson, Phys. Rev. A 93, 043612 (2016). PLRAAN 2469-9926 10.1103/PhysRevA.93.043612
X. Peng, H. Zhou, B.-B. Wei, J. Cui, J. Du, and R.-B. Liu, Phys. Rev. Lett. 114, 010601 (2015). PRLTAO 0031-9007 10.1103/PhysRevLett.114.010601
A. J. Roncaglia, F. Cerisola, and J. P. Paz, Phys. Rev. Lett. 113, 250601 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.250601
A. Smith, Y. Lu, S. An, X. Zhang, J.-N. Zhang, Z. Gong, H. T. Quan, C. Jarzynski, and K. Kim, New J. Phys. 20, 013008 (2018). NJOPFM 1367-2630 10.1088/1367-2630/aa9cd6
L. Cincio, Y. Subaşl, A. T. Sornborger, and P. J. Coles, New J. Phys. 20, 113022 (2018). NJOPFM 1367-2630 10.1088/1367-2630/aae94a
G. Ness, M. R. Lam, W. Alt, D. Meschede, Y. Sagi, and A. Alberti, Sci. Adv. 7, eabj9119 (2021). SACDAF 2375-2548 10.1126/sciadv.abj9119