Complexity of controlling quantum many-body dynamics

被引：28

作者：

Caneva, T. ^{[1
,2
]}

Silva, A. ^{[3
,4
]}

Fazio, R. ^{[5
,6
]}

Lloyd, S. ^{[7
]}

Calarco, T. ^{[1
]}

Montangero, S. ^{[1
]}

机构：

[1] Univ Ulm, Inst Quanteninformationsverarbeitung, D-89069 Ulm, Germany

[2] ICFO, Inst Ciencies Foton, Castelldefels 08860, Barcelona, Spain

[3] SISSA, Int Sch Adv Studies, I-34136 Trieste, Italy

[4] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

[5] Scuola Normale Super Pisa, NEST, I-56126 Pisa, Italy

[6] CNR, Ist Nanosci, I-56126 Pisa, Italy

[7] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

PHYSICAL REVIEW A | 2014年 / 89卷 / 04期

基金：

美国国家科学基金会;

关键词：

PHYSICS;

D O I：

10.1103/PhysRevA.89.042322

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We demonstrate that arbitrary time evolutions of many-body quantum systems can be reversed even in cases when only part of the Hamiltonian can be controlled. The reversed dynamics obtained via optimal controlcontrary to standard time-reversal procedures-is extremely robust to external sources of noise. We provide a lower bound on the control complexity of a many-body quantum dynamics in terms of the dimension of the manifold supporting it, elucidating the role played by integrability in this context.

引用

页数：5

共 50 条

[1] Optimal control of many-body quantum dynamics: Chaos and complexity
Poggi, P. M.
Wisniacki, D. A.
PHYSICAL REVIEW A, 2016, 94 (03)
[2] Entanglement complexity in quantum many-body dynamics, thermalization, and localization
Yang, Zhi-Cheng
Hamma, Alioscia
Giampaolo, Salvatore M.
Mucciolo, Eduardo R.
Chamon, Claudio
PHYSICAL REVIEW B, 2017, 96 (02)
[3] Controlling the Dynamics of an Open Many-Body Quantum System with Localized Dissipation
Barontini, G.
Labouvie, R.
Stubenrauch, F.
Vogler, A.
Guarrera, V.
Ott, H.
PHYSICAL REVIEW LETTERS, 2013, 110 (03)
[4] Controlling quantum many-body dynamics in driven Rydberg atom arrays
Bluvstein, D.
Omran, A.
Levine, H.
Keesling, A.
Semeghini, G.
Ebadi, S.
Wang, T. T.
Michailidis, A. A.
Maskara, N.
Ho, W. W.
Choi, S.
Serbyn, M.
Greiner, M.
Vuletic, V.
Lukin, M. D.
SCIENCE, 2021, 371 (6536) : 1355 - +
[5] Phase-space characterization of complexity in quantum many-body dynamics
Balachandran, Vinitha
Benenti, Giuliano
Casati, Giulio
Gong, Jiangbin
PHYSICAL REVIEW E, 2010, 82 (04):
[6] Dynamics of many-body quantum synchronisation
Davis-Tilley, C.
Teoh, C. K.
Armour, A. D.
NEW JOURNAL OF PHYSICS, 2018, 20
[7] Nuclear quantum many-body dynamics
Simenel, Cedric
EUROPEAN PHYSICAL JOURNAL A, 2012, 48 (11):
[8] Caustics in quantum many-body dynamics
Kirkby, W.
Yee, Y.
Shi, K.
O'Dell, D. H. J.
PHYSICAL REVIEW RESEARCH, 2022, 4 (01):
[9] Surveying Structural Complexity in Quantum Many-Body Systems
Suen, Whei Yeap
Elliott, Thomas J.
Thompson, Jayne
Garner, Andrew J. P.
Mahoney, John R.
Vedral, Vlatko
Gu, Mile
JOURNAL OF STATISTICAL PHYSICS, 2022, 187 (01)
[10] Quantum state complexity meets many-body scars
Nandy, Sourav
Mukherjee, Bhaskar
Bhattacharyya, Arpan
Banerjee, Aritra
JOURNAL OF PHYSICS-CONDENSED MATTER, 2024, 36 (15)

← 1 2 3 4 5 →