Many-Body Quantum State Diffusion for Non-Markovian Dynamics in Strongly Interacting Systems.

Hubbard-Holstein model; Interacting system; Many body; Many-body systems; Network methods; Non-Markovian; Non-markovian dynamics; Open quantum systems; Phonon mode; Quantum state; Physics and Astronomy (all); Quantum Physics; General Physics and Astronomy

Abstract :

[en] Capturing non-Markovian dynamics of open quantum systems is generally a challenging problem, especially for strongly interacting many-body systems. In this Letter, we combine recently developed non-Markovian quantum state diffusion techniques with tensor network methods to address this challenge. As a first example, we explore a Hubbard-Holstein model with dissipative phonon modes, where this new approach allows us to quantitatively assess how correlations spread in the presence of non-Markovian dissipation in a 1D many-body system. We find regimes where correlation growth can be enhanced by these effects, offering new routes for dissipatively enhancing transport and correlation spreading, relevant for both solid state and cold atom experiments.

Disciplines :

Physics

Author, co-author :

Flannigan, Stuart ; Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom

Damanet, François ; Université de Liège - ULiège > Département de physique

Daley, Andrew J. ; Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom

Language :

English

Title :

Many-Body Quantum State Diffusion for Non-Markovian Dynamics in Strongly Interacting Systems.

Publication date :

11 February 2022

Journal title :

Physical Review Letters

ISSN :

0031-9007

eISSN :

1079-7114

Publisher :

American Physical Society, United States

Volume :

128

Issue :

Pages :

063601

Peer reviewed :

Peer Reviewed verified by ORBi

Tags :

CÉCI : Consortium des Équipements de Calcul Intensif

Additional URL :

https://link.aps.org/article/10.1103/PhysRevLett.128.063601

Funders :

EPSRC - Engineering and Physical Sciences Research Council [GB]
AFOSR - Air Force Office of Scientific Research [US-VA] [US-VA]
Horizon 2020 Framework Programme
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
CÉCI - Consortium des Équipements de Calcul Intensif [BE]

Funding text :

We thank Walter Strunz, Valentin Link, Richard Hartmann, Adrian Kantian, Sebastian Paeckel, and Peter Kirton for helpful discussions. Work at the University of Strathclyde was supported by the EPSRC Programme Grant DesOEQ (EP/P009565/1), by AFOSR Grant No. FA9550-18-1-0064, and by the European Union’s Horizon 2020 research and innovation program under Grant No. 817482 PASQuanS. F. D. acknowledges the Belgian F.R.S.-FNRS for financial support. Computational resources have been provided by the Consortium des Équipements de Calcul Intensif (CÉCI), funded by the Fonds de la Recherche Scientifique de Belgique (F.R.S.-FNRS) under Grant No. 2.5020.11 and by the Walloon Region.

Commentary :

9 pages, 5 figures

Available on ORBi :

since 17 March 2022

Statistics

Number of views

34 (6 by ULiège)

Number of downloads

3 (3 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

I. de Vega and D. Alonso, Rev. Mod. Phys. 89, 015001 (2017). RMPHAT 0034-6861 10.1103/RevModPhys.89.015001
C. Maier, T. Brydges, P. Jurcevic, N. Trautmann, C. Hempel, B. P. Lanyon, P. Hauke, R. Blatt, and C. F. Roos, Phys. Rev. Lett. 122, 050501 (2019). PRLTAO 0031-9007 10.1103/PhysRevLett.122.050501
B.-H. Liu, L. Li, Y.-F. Huang, C.-F. Li, G.-C. Guo, E.-M. Laine, H.-P. Breuer, and J. Piilo, Nat. Phys. 7, 931 (2011). NPAHAX 1745-2473 10.1038/nphys2085
M. Lebrat, P. Grišins, D. Husmann, S. Häusler, L. Corman, T. Giamarchi, J.-P. Brantut, and T. Esslinger, Phys. Rev. X 8, 011053 (2018). PRXHAE 2160-3308 10.1103/PhysRevX.8.011053
A. Ishizaki and Y. Tanimura, J. Phys. Soc. Jpn. 74, 3131 (2005). JUPSAU 0031-9015 10.1143/JPSJ.74.3131
A. Kato and Y. Tanimura, J. Chem. Phys. 145, 224105 (2016). JCPSA6 0021-9606 10.1063/1.4971370
A. Strathearn, P. Kirton, D. Kilda, J. Keeling, and B. W. Lovett, Nat. Commun. 9, 3322 (2018). NCAOBW 2041-1723 10.1038/s41467-018-05617-3
D. Gribben, A. Strathearn, J. Iles-Smith, D. Kilda, A. Nazir, B. W. Lovett, and P. Kirton, Phys. Rev. Research 2, 013265 (2020). PPRHAI 2643-1564 10.1103/PhysRevResearch.2.013265
G. E. Fux, E. P. Butler, P. R. Eastham, B. W. Lovett, and J. Keeling, Phys. Rev. Lett. 126, 200401 (2021). PRLTAO 0031-9007 10.1103/PhysRevLett.126.200401
D. Suess, A. Eisfeld, and W. T. Strunz, Phys. Rev. Lett. 113, 150403 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.150403
R. Hartmann and W. T. Strunz, J. Chem. Theory Comput. 13, 5834 (2017). JCTCCE 1549-9618 10.1021/acs.jctc.7b00751
T. Holstein, Ann. Phys. (N.Y.) 8, 325 (1959). APNYA6 0003-4916 10.1016/0003-4916(59)90002-8
T. Holstein, Ann. Phys. (N.Y.) 281, 725 (2000). APNYA6 0003-4916 10.1006/aphy.2000.6021
U. Weiss, Series in Modern Condensed Matter Physics (World Scientific, Singapore, 2008), Vol. 13, p. 528.
V. D. Vaidya, Y. Guo, R. M. Kroeze, K. E. Ballantine, A. J. Kollár, J. Keeling, and B. L. Lev, Phys. Rev. X 8, 011002 (2018). PRXHAE 2160-3308 10.1103/PhysRevX.8.011002
A. J. Kollár, A. T. Papageorge, V. D. Vaidya, Y. Guo, J. Keeling, and B. L. Lev, Nat. Commun. 8, 14386 (2017). NCAOBW 2041-1723 10.1038/ncomms14386
A. Wickenbrock, M. Hemmerling, G. R. M. Robb, C. Emary, and F. Renzoni, Phys. Rev. A 87, 043817 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.87.043817
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
P. Haikka, S. McEndoo, G. De Chiara, G. M. Palma, and S. Maniscalco, Phys. Rev. A 84, 031602(R) (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.031602
J.-B. Yuan, H.-J. Xing, L.-M. Kuang, and S. Yi, Phys. Rev. A 95, 033610 (2017). PLRAAN 2469-9926 10.1103/PhysRevA.95.033610
H. Z. Shen, S. Xu, S. Yi, and X. X. Yi, Phys. Rev. A 98, 062106 (2018). PLRAAN 2469-9926 10.1103/PhysRevA.98.062106
R. G. Lena and A. J. Daley, Phys. Rev. A 101, 033612 (2020). PLRAAN 2469-9926 10.1103/PhysRevA.101.033612
G. Lindblad, Commun. Math. Phys. 48, 119 (1976). CMPHAY 0010-3616 10.1007/BF01608499
V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. (N.Y.) 17, 821 (1976). JMAPAQ 0022-2488 10.1063/1.522979
C. Gardiner and P. Zoller, Quantum Noise (Springer, New York, 2004).
H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, New York, 2002).
A. O. Caldeira and A. J. Leggett, Ann. Phys. (N.Y.) 149, 374 (1983). APNYA6 0003-4916 10.1016/0003-4916(83)90202-6
A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987). RMPHAT 0034-6861 10.1103/RevModPhys.59.1
F. Damanet, A. J. Daley, and J. Keeling, Phys. Rev. A 99, 033845 (2019). PLRAAN 2469-9926 10.1103/PhysRevA.99.033845
R. Palacino and J. Keeling, Phys. Rev. Research 3, L032016 (2021). PPRHAI 2643-1564 10.1103/PhysRevResearch.3.L032016
A. Bassi and L. Ferialdi, Phys. Rev. A 80, 012116 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.80.012116
T. Rybár, S. N. Filippov, M. Ziman, and V. BuŽek, J. Phys. B 45, 154006 (2012). JPAPEH 0953-4075 10.1088/0953-4075/45/15/154006
L. Diósi and W. T. Strunz, Phys. Lett. A 235, 569 (1997). PYLAAG 0375-9601 10.1016/S0375-9601(97)00717-2
J. Piilo, S. Maniscalco, K. Härkönen, and K.-A. Suominen, Phys. Rev. Lett. 100, 180402 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.180402
U. Schollwöck, Ann. Phys. (Amsterdam) 326, 96 (2011). APNYA6 0003-4916 10.1016/j.aop.2010.09.012
N. C. Costa, T. Blommel, W.-T. Chiu, G. Batrouni, and R. T. Scalettar, Phys. Rev. Lett. 120, 187003 (2018). PRLTAO 0031-9007 10.1103/PhysRevLett.120.187003
A. J. Daley, Adv. Phys. 63, 77 (2014). ADPHAH 0001-8732 10.1080/00018732.2014.933502
See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.128.063601 for details of the HOPS algorithm, example applications on specific simple systems and an error analysis of the (Equation presented) method, which includes Refs. [39-44].
W. T. Strunz, Phys. Lett. A 224, 25 (1996). PYLAAG 0375-9601 10.1016/S0375-9601(96)00805-5
D. Suess, W. T. Strunz, and A. Eisfeld, J. Stat. Phys. 159, 1408 (2015). JSTPBS 0022-4715 10.1007/s10955-015-1236-7
J. Haegeman, J. I. Cirac, T. J. Osborne, I. PiŽorn, H. Verschelde, and F. Verstraete, Phys. Rev. Lett. 107, 070601 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.070601
P. Gaspard and M. Nagaoka, J. Chem. Phys. 111, 5676 (1999). JCPSA6 0021-9606 10.1063/1.479868
I. de Vega, D. Alonso, and P. Gaspard, Phys. Rev. A 71, 023812 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.023812
H. M. Wiseman and G. J. Milburn, Quantum Measurement and Control (Cambridge University Press, Cambridge, England, 2009).
C. Liu, M. Mucci, X. Cao, M. V. G. Dutt, M. Hatridge, and D. Pekker, Nat. Commun. 12, 5620 (2021). NCAOBW 2041-1723 10.1038/s41467-021-25879-8
H. M. Wiseman, Phys. Rev. A 60, 4083 (1999). PLRAAN 1050-2947 10.1103/PhysRevA.60.4083
S. Paeckel, T. Köhler, A. Swoboda, S. R. Manmana, U. Schollwöck, and C. Hubig, Ann. Phys. (Amsterdam) 411, 167998 (2019). APNYA6 0003-4916 10.1016/j.aop.2019.167998
J. Stolpp, J. Herbrych, F. Dorfner, E. Dagotto, and F. Heidrich-Meisner, Phys. Rev. B 101, 035134 (2020). PRBMDO 2469-9950 10.1103/PhysRevB.101.035134
E. H. Lieb and D. W. Robinson, Commun. Math. Phys. 28, 251 (1972). CMPHAY 0010-3616 10.1007/BF01645779
S. Bravyi, M. B. Hastings, and F. Verstraete, Phys. Rev. Lett. 97, 050401 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.050401
S. R. Manmana, S. Wessel, R. M. Noack, and A. Muramatsu, Phys. Rev. B 79, 155104 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.155104
M. Fishman, S. R. White, and E. M. Stoudenmire, arXiv:2007.14822.
S. Reja, S. Yarlagadda, and P. B. Littlewood, Phys. Rev. B 86, 045110 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.045110
T. Köhler, J. Stolpp, and S. Paeckel, SciPost Phys. 10, 58 (2021). 2542-4653 10.21468/SciPostPhys.10.3.058
J. Stolpp, T. Köhler, S. R. Manmana, E. Jeckelmann, F. Heidrich-Meisner, and S. Paeckel, Comput. Phys. Commun. 269, 108106 (2021). CPHCBZ 0010-4655 10.1016/j.cpc.2021.108106
C. Zhang, E. Jeckelmann, and S. R. White, Phys. Rev. Lett. 80, 2661 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2661
X. Gao, J. Ren, A. Eisfeld, and Z. Shuai, arXiv:2109.06393.
S. Flannigan, F. Damanet, and A. J. Daley, 2021, version 1, University of Strathclyde KnowledgeBase, 10.15129/92dd009b-00c5-4e42-ae13-38c6b21df9fd.