Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
Abstract
We study the quasiparticle excitation and quench dynamics of the one-dimensional transverse-field Ising model with power-law (1/rα) interactions. We find that long-range interactions give rise to a confining potential, which couples pairs of domain walls (kinks) into bound quasiparticles, analogous to mesonic states in high-energy physics. We show that these quasiparticles have signatures in the dynamics of order parameters following a global quench, and the Fourier spectrum of these order parameters can be exploited as a direct probe of the masses of the confined quasiparticles. We introduce a two-kink model to qualitatively explain the phenomenon of long-range-interaction-induced confinement and to quantitatively predict the masses of the bound quasiparticles. Furthermore, we illustrate that these quasiparticle states can lead to slow thermalization of one-point observables for certain initial states. Lastly, our work is readily applicable to current trapped-ion experiments.
- Authors:
-
- NIST/Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst.
- NIST/Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst. and Joint Center for Quantum Information and Computer Science
- Publication Date:
- Research Org.:
- Duke Univ., Durham, NC (United States); Univ. of Maryland, College Park, MD (United States); Quantum Information Science (QIS)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1574908
- Alternate Identifier(s):
- OSTI ID: 1507233
- Grant/Contract Number:
- SC0019449
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 122; Journal Issue: 15; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Quantum Information Science (QIS)
Citation Formats
Liu, Fangli, Lundgren, Rex, Titum, Paraj, Pagano, Guido, Zhang, Jiehang, Monroe, Christopher, and Gorshkov, Alexey V. Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.122.150601.
Liu, Fangli, Lundgren, Rex, Titum, Paraj, Pagano, Guido, Zhang, Jiehang, Monroe, Christopher, & Gorshkov, Alexey V. Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains. United States. https://doi.org/10.1103/PhysRevLett.122.150601
Liu, Fangli, Lundgren, Rex, Titum, Paraj, Pagano, Guido, Zhang, Jiehang, Monroe, Christopher, and Gorshkov, Alexey V. Tue .
"Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains". United States. https://doi.org/10.1103/PhysRevLett.122.150601. https://www.osti.gov/servlets/purl/1574908.
@article{osti_1574908,
title = {Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains},
author = {Liu, Fangli and Lundgren, Rex and Titum, Paraj and Pagano, Guido and Zhang, Jiehang and Monroe, Christopher and Gorshkov, Alexey V.},
abstractNote = {We study the quasiparticle excitation and quench dynamics of the one-dimensional transverse-field Ising model with power-law (1/rα) interactions. We find that long-range interactions give rise to a confining potential, which couples pairs of domain walls (kinks) into bound quasiparticles, analogous to mesonic states in high-energy physics. We show that these quasiparticles have signatures in the dynamics of order parameters following a global quench, and the Fourier spectrum of these order parameters can be exploited as a direct probe of the masses of the confined quasiparticles. We introduce a two-kink model to qualitatively explain the phenomenon of long-range-interaction-induced confinement and to quantitatively predict the masses of the bound quasiparticles. Furthermore, we illustrate that these quasiparticle states can lead to slow thermalization of one-point observables for certain initial states. Lastly, our work is readily applicable to current trapped-ion experiments.},
doi = {10.1103/PhysRevLett.122.150601},
journal = {Physical Review Letters},
number = 15,
volume = 122,
place = {United States},
year = {2019},
month = {4}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 11 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Quantum spin dynamics with pairwise-tunable, long-range interactions
journal, August 2016
- Hung, C. -L.; González-Tudela, Alejandro; Cirac, J. Ignacio
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 34
The Gribov problem and QCD dynamics
journal, November 2012
- Vandersickel, N.; Zwanziger, Daniel
- Physics Reports, Vol. 520, Issue 4
Spectral Gap and Exponential Decay of Correlations
journal, April 2006
- Hastings, Matthew B.; Koma, Tohru
- Communications in Mathematical Physics, Vol. 265, Issue 3
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, November 1966
- Mermin, N. D.; Wagner, H.
- Physical Review Letters, Vol. 17, Issue 22
Continuous Symmetry Breaking in 1D Long-Range Interacting Quantum Systems
journal, July 2017
- Maghrebi, Mohammad F.; Gong, Zhe-Xuan; Gorshkov, Alexey V.
- Physical Review Letters, Vol. 119, Issue 2
Non-thermalization in trapped atomic ion spin chains
journal, October 2017
- Hess, P. W.; Becker, P.; Kaplan, H. B.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 375, Issue 2108
Spread of Correlations in Long-Range Interacting Quantum Systems
journal, November 2013
- Hauke, P.; Tagliacozzo, L.
- Physical Review Letters, Vol. 111, Issue 20
Correlation spreading and properties of the quantum state in quench dynamics
journal, June 2018
- Delfino, Gesualdo
- Physical Review E, Vol. 97, Issue 6
Does a Single Eigenstate Encode the Full Hamiltonian?
journal, April 2018
- Garrison, James R.; Grover, Tarun
- Physical Review X, Vol. 8, Issue 2
Hierarchy of Bound States in the One-Dimensional Ferromagnetic Ising Chain Investigated by High-Resolution Time-Domain Terahertz Spectroscopy
journal, April 2014
- Morris, C. M.; Valdés Aguilar, R.; Ghosh, A.
- Physical Review Letters, Vol. 112, Issue 13
Energy Spectrum of Bound-Spinons in the Quantum Ising Spin-Chain Ferromagnet
journal, April 2008
- Rutkevich, S. B.
- Journal of Statistical Physics, Vol. 131, Issue 5
Non-local propagation of correlations in quantum systems with long-range interactions
journal, July 2014
- Richerme, Philip; Gong, Zhe-Xuan; Lee, Aaron
- Nature, Vol. 511, Issue 7508
Confinement in the q-state Potts model: an RG-TCSA study
journal, September 2015
- Lencsés, M.; Takács, G.
- Journal of High Energy Physics, Vol. 2015, Issue 9
Room-temperature entanglement between single defect spins in diamond
journal, February 2013
- Dolde, F.; Jakobi, I.; Naydenov, B.
- Nature Physics, Vol. 9, Issue 3
On the theory of quantum quenches in near-critical systems
journal, January 2017
- Delfino, Gesualdo; Viti, Jacopo
- Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 8
Floquet Symmetry-Protected Topological Phases in Cold-Atom Systems
journal, September 2017
- Potirniche, I. -D.; Potter, A. C.; Schleier-Smith, M.
- Physical Review Letters, Vol. 119, Issue 12
Quasiparticles in Quantum Spin Chains with Long-Range Interactions
journal, August 2018
- Vanderstraeten, Laurens; Van Damme, Maarten; Büchler, Hans Peter
- Physical Review Letters, Vol. 121, Issue 9
The ergodic side of the many-body localization transition: The ergodic side of the many-body localization transition
journal, May 2017
- Luitz, David J.; Lev, Yevgeny Bar
- Annalen der Physik, Vol. 529, Issue 7
Strong and Weak Thermalization of Infinite Nonintegrable Quantum Systems
journal, February 2011
- Bañuls, M. C.; Cirac, J. I.; Hastings, M. B.
- Physical Review Letters, Vol. 106, Issue 5
Prethermalization and persistent order in the absence of a thermal phase transition
journal, January 2017
- Halimeh, Jad C.; Zauner-Stauber, Valentin; McCulloch, Ian P.
- Physical Review B, Vol. 95, Issue 2
Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond
journal, October 2006
- Childress, L.; Gurudev Dutt, M. V.; Taylor, J. M.
- Science, Vol. 314, Issue 5797
Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
journal, November 2017
- Zhang, J.; Pagano, G.; Hess, P. W.
- Nature, Vol. 551, Issue 7682
Bound states and symmetry effects in perturbed quantum Ising chains
journal, January 2011
- Kjäll, Jonas A.; Pollmann, Frank; Moore, Joel E.
- Physical Review B, Vol. 83, Issue 2
Entanglement Growth in Quench Dynamics with Variable Range Interactions
journal, September 2013
- Schachenmayer, J.; Lanyon, B. P.; Roos, C. F.
- Physical Review X, Vol. 3, Issue 3
A High Phase-Space-Density Gas of Polar Molecules
journal, October 2008
- Ni, K. -K.; Ospelkaus, S.; de Miranda, M. H. G.
- Science, Vol. 322, Issue 5899
The finite group velocity of quantum spin systems
journal, September 1972
- Lieb, Elliott H.; Robinson, Derek W.
- Communications in Mathematical Physics, Vol. 28, Issue 3
Frustration and Glassiness in Spin Models with Cavity-Mediated Interactions
journal, December 2011
- Gopalakrishnan, Sarang; Lev, Benjamin L.; Goldbart, Paul M.
- Physical Review Letters, Vol. 107, Issue 27
Entanglement Entropy for the Long-Range Ising Chain in a Transverse Field
journal, December 2012
- Koffel, Thomas; Lewenstein, M.; Tagliacozzo, Luca
- Physical Review Letters, Vol. 109, Issue 26
Emergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator
journal, May 2013
- Islam, R.; Senko, C.; Campbell, W. C.
- Science, Vol. 340, Issue 6132
Quantum Quench in the Transverse-Field Ising Chain
journal, June 2011
- Calabrese, Pasquale; Essler, Fabian H. L.; Fagotti, Maurizio
- Physical Review Letters, Vol. 106, Issue 22
On the weak confinement of kinks in the one-dimensional quantum ferromagnet CoNb 2 O 6
journal, July 2010
- Rutkevich, S. B.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2010, Issue 07
Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins
journal, April 2012
- Britton, Joseph W.; Sawyer, Brian C.; Keith, Adam C.
- Nature, Vol. 484, Issue 7395
Observation of spatially ordered structures in a two-dimensional Rydberg gas
journal, October 2012
- Schauß, Peter; Cheneau, Marc; Endres, Manuel
- Nature, Vol. 491, Issue 7422
Nearly Linear Light Cones in Long-Range Interacting Quantum Systems
journal, April 2015
- Foss-Feig, Michael; Gong, Zhe-Xuan; Clark, Charles W.
- Physical Review Letters, Vol. 114, Issue 15
Quasiparticle engineering and entanglement propagation in a quantum many-body system
journal, July 2014
- Jurcevic, P.; Lanyon, B. P.; Hauke, P.
- Nature, Vol. 511, Issue 7508
Long-Lived Dipolar Molecules and Feshbach Molecules in a 3D Optical Lattice
journal, February 2012
- Chotia, Amodsen; Neyenhuis, Brian; Moses, Steven A.
- Physical Review Letters, Vol. 108, Issue 8
Classification of topological phases in periodically driven interacting systems
journal, May 2016
- Else, Dominic V.; Nayak, Chetan
- Physical Review B, Vol. 93, Issue 20
Strongly Interacting Rydberg Excitations of a Cold Atomic Gas
journal, April 2012
- Dudin, Y. O.; Kuzmich, A.
- Science, Vol. 336, Issue 6083
Two-dimensional Ising field theory in a magnetic field: Breakup of the cut in the two-point function
journal, August 1978
- McCoy, Barry M.; Wu, Tai Tsun
- Physical Review D, Vol. 18, Issue 4
Probing many-body dynamics on a 51-atom quantum simulator
journal, November 2017
- Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander
- Nature, Vol. 551, Issue 7682
Many-body localization in a quantum simulator with programmable random disorder
journal, June 2016
- Smith, J.; Lee, A.; Richerme, P.
- Nature Physics, Vol. 12, Issue 10
Dipolar collisions of polar molecules in the quantum regime
journal, April 2010
- Ni, K. -K.; Ospelkaus, S.; Wang, D.
- Nature, Vol. 464, Issue 7293
Confinement in the q-state Potts field theory
journal, March 2008
- Delfino, Gesualdo; Grinza, Paolo
- Nuclear Physics B, Vol. 791, Issue 3
Hamiltonian truncation approach to quenches in the Ising field theory
journal, October 2016
- Rakovszky, T.; Mestyán, M.; Collura, M.
- Nuclear Physics B, Vol. 911
Ultralong spin coherence time in isotopically engineered diamond
journal, April 2009
- Balasubramanian, Gopalakrishnan; Neumann, Philipp; Twitchen, Daniel
- Nature Materials, Vol. 8, Issue 5
Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006
- Calabrese, Pasquale; Cardy, John
- Physical Review Letters, Vol. 96, Issue 13
Quasiparticle explanation of the weak-thermalization regime under quench in a nonintegrable quantum spin chain
journal, February 2017
- Lin, Cheng-Ju; Motrunich, Olexei I.
- Physical Review A, Vol. 95, Issue 2
Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
journal, December 2017
- Zauner-Stauber, Valentin; Halimeh, Jad C.
- Physical Review E, Vol. 96, Issue 6
Quantum many-body models with cold atoms coupled to photonic crystals
journal, April 2015
- Douglas, J. S.; Habibian, H.; Hung, C. -L.
- Nature Photonics, Vol. 9, Issue 5
Direct Measurement of the van der Waals Interaction between Two Rydberg Atoms
journal, June 2013
- Béguin, L.; Vernier, A.; Chicireanu, R.
- Physical Review Letters, Vol. 110, Issue 26
Critical behavior of quantum magnets with long-range interactions in the thermodynamic limit
journal, August 2016
- Fey, Sebastian; Schmidt, Kai Phillip
- Physical Review B, Vol. 94, Issue 7
Quantum computing with defects
journal, April 2010
- Weber, J. R.; Koehl, W. F.; Varley, J. B.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 19
Real-time confinement following a quantum quench to a non-integrable model
journal, November 2016
- Kormos, Marton; Collura, Mario; Takács, Gabor
- Nature Physics, Vol. 13, Issue 3
Baryon masses in the three-state Potts field theory in a weak magnetic field
journal, January 2015
- Rutkevich, S. B.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2015, Issue 1
Quantum information with Rydberg atoms
journal, August 2010
- Saffman, M.; Walker, T. G.; Mølmer, K.
- Reviews of Modern Physics, Vol. 82, Issue 3
Creation of Ultracold Molecules in the Rovibrational Ground State
journal, December 2014
- Molony, Peter K.; Gregory, Philip D.; Ji, Zhonghua
- Physical Review Letters, Vol. 113, Issue 25
Quantum Degenerate Dipolar Fermi Gas
journal, May 2012
- Lu, Mingwu; Burdick, Nathaniel Q.; Lev, Benjamin L.
- Physical Review Letters, Vol. 108, Issue 21
Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry
journal, January 2010
- Coldea, R.; Tennant, D. A.; Wheeler, E. M.
- Science, Vol. 327, Issue 5962
Quantum Criticality of Two-Dimensional Quantum Magnets with Long-Range Interactions
journal, January 2019
- Fey, Sebastian; Kapfer, Sebastian C.; Schmidt, Kai Phillip
- Physical Review Letters, Vol. 122, Issue 1
Direct Observation of Dynamical Quantum Phase Transitions in an Interacting Many-Body System
journal, August 2017
- Jurcevic, P.; Shen, H.; Hauke, P.
- Physical Review Letters, Vol. 119, Issue 8
The particle spectrum of the three-state Potts field theory: a numerical study
journal, November 2009
- Lepori, L.; Tóth, G. Z.; Delfino, G.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 11
Cooperative Shielding in Many-Body Systems with Long-Range Interaction
journal, June 2016
- Santos, Lea F.; Borgonovi, Fausto; Celardo, Giuseppe Luca
- Physical Review Letters, Vol. 116, Issue 25
Quantum quenches with integrable pre-quench dynamics
journal, September 2014
- Delfino, Gesualdo
- Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 40
New Approach to Many-State Quantum Dynamics: The Recursive-Residue-Generation Method
journal, December 1983
- Nauts, André; Wyatt, Robert E.
- Physical Review Letters, Vol. 51, Issue 25
Dynamical phase diagram of quantum spin chains with long-range interactions
journal, October 2017
- Halimeh, Jad C.; Zauner-Stauber, Valentin
- Physical Review B, Vol. 96, Issue 13
The Importance of the Ising Model
journal, May 2012
- McCoy, B. M.; Maillard, J. -M.
- Progress of Theoretical Physics, Vol. 127, Issue 5
Classification of Interacting Topological Floquet Phases in One Dimension
journal, October 2016
- Potter, Andrew C.; Morimoto, Takahiro; Vishwanath, Ashvin
- Physical Review X, Vol. 6, Issue 4
Theory of a Two-Dimensional Ising Model with Random Impurities. I. Thermodynamics
journal, December 1968
- McCoy, Barry M.; Wu, Tai Tsun
- Physical Review, Vol. 176, Issue 2
Bose-Einstein Condensation of Erbium
journal, May 2012
- Aikawa, K.; Frisch, A.; Mark, M.
- Physical Review Letters, Vol. 108, Issue 21
Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunneling models
journal, May 2016
- Buyskikh, Anton S.; Fagotti, Maurizio; Schachenmayer, Johannes
- Physical Review A, Vol. 93, Issue 5
Observation of a discrete time crystal
journal, March 2017
- Zhang, J.; Hess, P. W.; Kyprianidis, A.
- Nature, Vol. 543, Issue 7644
Persistence of Locality in Systems with Power-Law Interactions
journal, July 2014
- Gong, Zhe-Xuan; Foss-Feig, Michael; Michalakis, Spyridon
- Physical Review Letters, Vol. 113, Issue 3
Probing Real-Space and Time-Resolved Correlation Functions with Many-Body Ramsey Interferometry
journal, October 2013
- Knap, Michael; Kantian, Adrian; Giamarchi, Thierry
- Physical Review Letters, Vol. 111, Issue 14
Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases
journal, June 2016
- von Keyserlingk, C. W.; Sondhi, S. L.
- Physical Review B, Vol. 93, Issue 24
Phase structure of one-dimensional interacting Floquet systems. II. Symmetry-broken phases
journal, June 2016
- von Keyserlingk, C. W.; Sondhi, S. L.
- Physical Review B, Vol. 93, Issue 24
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, December 1966
- Mermin, N. D.; Wagner, H.
- Physical Review Letters, Vol. 17, Issue 26
Confinement in the q-state Potts field theory
text, January 2007
- Delfino, Gesualdo; Grinza, Paolo
- arXiv
Quantum information with Rydberg atoms
text, January 2009
- Saffman, M.; Walker, T. G.; Molmer, K.
- arXiv
On the weak confinement of kinks in the one-dimensional quantum ferromagnet CoNb2O6
text, January 2010
- Rutkevich, S. B.
- arXiv
Quantum Quench in the Transverse Field Ising Chain
text, January 2011
- Calabrese, Pasquale; Essler, Fabian H. L.; Fagotti, Maurizio
- arXiv
Quantum degenerate dipolar Fermi gas
text, January 2012
- Lu, Mingwu; Burdick, Nathaniel Q.; Lev, Benjamin L.
- arXiv
Direct measurement of the van der Waals interaction between two Rydberg atoms
text, January 2013
- Béguin, Lucas; Vernier, Aline; Chicireanu, Radu
- arXiv
Entanglement growth in quench dynamics with variable range interactions
text, January 2013
- Schachenmayer, J.; Lanyon, B. P.; Roos, C. F.
- arXiv
Probing real-space and time resolved correlation functions with many-body Ramsey interferometry
text, January 2013
- Knap, Michael; Kantian, Adrian; Giamarchi, Thierry
- arXiv
Quantum many-body models with cold atoms coupled to photonic crystals
text, January 2013
- Douglas, J. S.; Habibian, H.; Hung, C. -L.
- arXiv
Nearly-linear light cones in long-range interacting quantum systems
text, January 2014
- Foss-Feig, Michael; Gong, Zhe-Xuan; Clark, Charles W.
- arXiv
Does a single eigenstate encode the full Hamiltonian?
text, January 2015
- Garrison, James R.; Grover, Tarun
- arXiv
Confinement in the q-state Potts model: an RG-TCSA study
text, January 2015
- Lencses, M.; Takacs, G.
- arXiv
Many-body localization in a quantum simulator with programmable random disorder
text, January 2015
- Smith, Jacob; Lee, Aaron; Richerme, Philip
- arXiv
Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
text, January 2016
- Buyskikh, Anton S.; Fagotti, Maurizio; Schachenmayer, Johannes
- arXiv
Classification of topological phases in periodically driven interacting systems
text, January 2016
- Else, Dominic V.; Nayak, Chetan
- arXiv
Quantum Spin Dynamics with Pairwise-Tunable, Long-Range Interactions
text, January 2016
- Hung, C. -L.; González-Tudela, A.; Cirac, J. I.
- arXiv
Real time confinement following a quantum quench to a non-integrable model
text, January 2016
- Kormos, M.; Collura, M.; Takács, G.
- arXiv
Hamiltonian truncation approach to quenches in the Ising field theory
text, January 2016
- Rakovszky, Tibor; Mestyán, Márton; Collura, Mario
- arXiv
On the theory of quantum quenches in near-critical systems
text, January 2016
- Delfino, Gesualdo; Viti, Jacopo
- arXiv
Observation of a Discrete Time Crystal
text, January 2016
- Zhang, J.; Hess, P. W.; Kyprianidis, A.
- arXiv
Floquet symmetry-protected topological phases in cold atomic systems
text, January 2016
- Potirniche, Ionut-Dragos; Potter, Andrew C.; Schleier-Smith, Monika
- arXiv
Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
text, January 2017
- Zhang, J.; Pagano, G.; Hess, P. W.
- arXiv
Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
text, January 2017
- Zauner-Stauber, Valentin; Halimeh, Jad C.
- arXiv
Correlation spreading and properties of the quantum state in quench dynamics
text, January 2017
- Delfino, Gesualdo
- arXiv
Quantum criticality of two-dimensional quantum magnets with long-range interactions
text, January 2018
- Fey, S.; Kapfer, Sebastian C.; Schmidt, K. P.
- arXiv
Time-dependence of correlation functions following a quantum quench
text, January 2006
- Calabrese, Pasquale; Cardy, John
- arXiv
Spectral Gap and Exponential Decay of Correlations
text, January 2005
- Hastings, Matthew B.; Koma, Tohru
- arXiv
Works referencing / citing this record:
Flat-band many-body localization and ergodicity breaking in the Creutz ladder
journal, January 2020
- Kuno, Yoshihito; Orito, Takahiro; Ichinose, Ikuo
- New Journal of Physics, Vol. 22, Issue 1
Dynamical criticality and domain-wall coupling in long-range Hamiltonians
journal, July 2019
- Defenu, Nicolò; Enss, Tilman; Halimeh, Jad C.
- Physical Review B, Vol. 100, Issue 1
Quantum information scrambling after a quantum quench
journal, September 2019
- Alba, Vincenzo; Calabrese, Pasquale
- Physical Review B, Vol. 100, Issue 11
Algebraic localization from power-law couplings in disordered quantum wires
journal, October 2019
- Botzung, Thomas; Vodola, Davide; Naldesi, Piero
- Physical Review B, Vol. 100, Issue 15
Suppression of transport in nondisordered quantum spin chains due to confined excitations
journal, May 2019
- Mazza, Paolo Pietro; Perfetto, Gabriele; Lerose, Alessio
- Physical Review B, Vol. 99, Issue 18
Signatures of rare states and thermalization in a theory with confinement
journal, May 2019
- Robinson, Neil J.; James, Andrew J. A.; Konik, Robert M.
- Physical Review B, Vol. 99, Issue 19
Dynamical criticality and domain-wall coupling in long-range Hamiltonians
text, January 2019
- Defenu, Nicolò; Enss, Tilman; Halimeh, Jad C.
- arXiv
Quantum information scrambling after a quantum quench
text, January 2019
- Alba, Vincenzo; Calabrese, Pasquale
- arXiv
Flat-band many-body localization and ergodicity breaking in the Creutz ladder
text, January 2019
- Kuno, Yoshihito; Orito, Takahiro; Ichinose, Ikuo
- arXiv