Probing quantum scars and weak ergodicity-breaking through quantum complexity

Michael Schecter and Thomas Iadecola, “Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets,” Phys. Rev. Lett. 123

Original

1906

Earlier work this paper cites.

J. L. F. Barbón, E. Rabinovici, R. Shir, and R. Sinha, “On The Evolution Of Operator Complexity Beyond Scrambling,” JHEP 10

Original

1907

Earlier work this paper cites.

Bhaskar Mukherjee, Sourav Nandy, Arnab Sen, Diptiman Sen, and K. Sengupta, “Collapse and revival of quantum many-body scars via floquet engineering,” Phys. Rev. B 101

Original

1907

Earlier work this paper cites.

Giuseppe Magnifico, Marcello Dalmonte, Paolo Facchi, Saverio Pascazio, Francesco V. Pepe, and Elisa Ercolessi, “Real Time Dynamics and Confinement in the Z n Z_{n} Schwinger-Weyl lattice model for 1+1 QED,” Quantum 4

Original

1909

Earlier work this paper cites.

Thomas Iadecola and Michael Schecter, “Quantum many-body scar states with emergent kinetic constraints and finite-entanglement revivals,” Phys. Rev. B 101

Original

1910

Earlier work this paper cites.

Sanjay Moudgalya, Abhinav Prem, Rahul Nandkishore, Nicolas Regnault, and B Andrei Bernevig, “Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian,” (2019), arXiv:1910.14048 [cond-mat.str-el]

Original

1910

Earlier work this paper cites.

Alexander Avdoshkin and Anatoly Dymarsky, “Euclidean operator growth and quantum chaos,” Phys. Rev. Res. 2

Original

1911

Earlier work this paper cites.

Sho Sugiura, Tomotaka Kuwahara, and Keiji Saito, “Many-body scar state intrinsic to periodically driven system,” Phys. Rev. Research 3

Original

1911

Earlier work this paper cites.

Naoyuki Shibata, Nobuyuki Yoshioka, and Hosho Katsura, “Onsager’s scars in disordered spin chains,” Phys. Rev. Lett. 124

Original

1912

Earlier work this paper cites.

Anatoly Dymarsky and Alexander Gorsky, “Quantum chaos as delocalization in Krylov space,” Phys. Rev. B 102

Original

1912

Earlier work this paper cites.

P. P. Kulish and N. Yu. Reshetikhin, “Quantum linear problem for the sine-gordon equation and higher representations,” Journal of Soviet Mathematics 23

1983

Earlier work this paper cites.

Eric J. Heller, “Bound-state eigenfunctions of classically chaotic hamiltonian systems: Scars of periodic orbits,” Phys. Rev. Lett. 53

1984

Earlier work this paper cites.

Milton Abramowitz, Irene A Stegun, and Robert H Romer, “Handbook of mathematical functions with formulas, graphs, and mathematical tables,” (1988)

1988

Earlier work this paper cites.

L C Biedenharn, “The quantum group suq(2) and a q-analogue of the boson operators,” Journal of Physics A: Mathematical and General 22

1989

Earlier work this paper cites.

A J Macfarlane, “On q-analogues of the quantum harmonic oscillator and the quantum group suq(2),” Journal of Physics A: Mathematical and General 22

1989

Earlier work this paper cites.

M T Batchelor, L Mezincescu, R I Nepomechie, and V Rittenberg, “q-deformations of the o(3) symmetric spin-1 heisenberg chain,” Journal of Physics A: Mathematical and General 23

1990

Earlier work this paper cites.

J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43

1991

Earlier work this paper cites.

Arijeet Pal and David A. Huse, “Many-body localization phase transition,” Phys. Rev. B 82

Original

1992

Earlier work this paper cites.

Mark Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50

1994

Earlier work this paper cites.

V.S. Viswanath and G. Müller, The Recursion Method: Application to Many Body Dynamics , Lecture Notes in Physics Monographs (Springer Berlin Heidelberg, 1994)

1994

Earlier work this paper cites.

M. Chaichian and A. Demichev, Introduction To Quantum Groups (World Scientific Publishing Company, 1996)

1996

Earlier work this paper cites.

Kazuo Fujikawa, “Phase operator problem and an index theorem for Q deformed oscillator,” in Frontiers in Quantum Field Theory in Honor of the 60th Birthday of Prof. K. Kikkawa (1996) pp. 354–366, arXiv:hep-th/9603130

1996

Earlier work this paper cites.

D. Bonatsos, P. Kolokotronis, C. Daskaloyannis, A. Ludu, and C. Quesne, “Nonlinear deformed SU(2) algebras involving two deforming functions,” Czech. J. Phys. 46

1996

Earlier work this paper cites.

Kazuo Fujikawa, Harunobu Kubo, and CH Oh, “A schwinger term in q-deformed su (2) algebra,” Modern Physics Letters A 12

1997

Earlier work this paper cites.

D. Bonatsos and C. Daskaloyannis, “Quantum groups and their applications in nuclear physics,” Progress in Particle and Nuclear Physics 43

1999

Earlier work this paper cites.

Donam Youm, “Q-deformed conformal quantum mechanics,” Phys. Rev. D 62

2000

Earlier work this paper cites.

Julius Wess, “q-deformed heisenberg algebras,” in Geometry and Quantum Physics (Springer, 2000) pp. 311–382

2000

Earlier work this paper cites.

Kieran Bull, Jean-Yves Desaules, and Zlatko Papić, “Quantum scars as embeddings of weakly broken lie algebra representations,” Phys. Rev. B 101

Original

2001

Earlier work this paper cites.

Hongzheng Zhao, Joseph Vovrosh, Florian Mintert, and Johannes Knolle, “Quantum many-body scars in optical lattices,” Phys. Rev. Lett. 124

Original

2002

Earlier work this paper cites.

P Narayana Swamy, “Deformed heisenberg algebra: origin of q-calculus,” Physica A: Statistical Mechanics and its Applications 328

2003

Earlier work this paper cites.

Paul Fendley, K. Sengupta, and Subir Sachdev, “Competing density-wave orders in a one-dimensional hard-boson model,” Phys. Rev. B 69

2004

Earlier work this paper cites.

Pasquale Calabrese and John L. Cardy, “Evolution of entanglement entropy in one-dimensional systems,” J. Stat. Mech. 0504

2005

Earlier work this paper cites.

Bhaskar Mukherjee, Arnab Sen, Diptiman Sen, and K. Sengupta, “Dynamics of the vacuum state in a periodically driven rydberg chain,” Phys. Rev. B 102

Original

2005

Earlier work this paper cites.

D. Martínez-Tibaduiza, A.H. Aragão, C. Farina, and C.A.D. Zarro, “New bch-like relations of the su(1,1), su(2) and so(2,1) lie algebras,” Physics Letters A 384

Original

2005

Earlier work this paper cites.

D.M. Basko, I.L. Aleiner, and B.L. Altshuler, “Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states,” Annals of Physics 321

2006

Cited alongside, same era.

A. Lavagno, A. M. Scarfone, and P. Narayana Swamy, “Classical and quantum q-deformed physical systems,” Eur. Phys. J. C 47

2006

Cited alongside, same era.

Alexander Schmidt and Hartmut Wachter, “q-deformed quantum lie algebras,” Journal of Geometry and Physics 56

2006

Cited alongside, same era.

Marcos Rigol, Vanja Dunjko, Vladimir Yurovsky, and Maxim Olshanii, “Relaxation in a completely integrable many-body quantum system: An ab initio study of the dynamics of the highly excited states of 1d lattice hard-core bosons,” Phys. Rev. Lett. 98

2007

Cited alongside, same era.

Vadim Oganesyan and David A. Huse, “Localization of interacting fermions at high temperature,” Phys. Rev. B 75

Soonwon Choi, Christopher J. Turner, Hannes Pichler, Wen Wei Ho, Alexios A. Michailidis, Zlatko Papić, Maksym Serbyn, Mikhail D. Lukin, and Dmitry A. Abanin, “Emergent su(2) dynamics and perfect quantum many-body scars,” Phys. Rev. Lett. 122

Original

2019

Later among the works it cites.

Vedika Khemani, Chris R. Laumann, and Anushya Chandran, “Signatures of integrability in the dynamics of rydberg-blockaded chains,” Phys. Rev. B 99

Original

2019

Later among the works it cites.

Cheng-Ju Lin and Olexei I. Motrunich, “Exact quantum many-body scar states in the rydberg-blockaded atom chain,” Phys. Rev. Lett. 122

Original

2019

Later among the works it cites.

Daniel E. Parker, Xiangyu Cao, Alexander Avdoshkin, Thomas Scaffidi, and Ehud Altman, “A Universal Operator Growth Hypothesis,” Phys. Rev. X 9

Original

2019

Later among the works it cites.