skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on April 22, 2020

Title: Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum

Authors:
; ; ; ; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1508427
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 99 Journal Issue: 14; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Richter, Jonas, Jin, Fengping, Knipschild, Lars, Herbrych, Jacek, De Raedt, Hans, Michielsen, Kristel, Gemmer, Jochen, and Steinigeweg, Robin. Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.144422.
Richter, Jonas, Jin, Fengping, Knipschild, Lars, Herbrych, Jacek, De Raedt, Hans, Michielsen, Kristel, Gemmer, Jochen, & Steinigeweg, Robin. Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum. United States. doi:10.1103/PhysRevB.99.144422.
Richter, Jonas, Jin, Fengping, Knipschild, Lars, Herbrych, Jacek, De Raedt, Hans, Michielsen, Kristel, Gemmer, Jochen, and Steinigeweg, Robin. Tue . "Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum". United States. doi:10.1103/PhysRevB.99.144422.
@article{osti_1508427,
title = {Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum},
author = {Richter, Jonas and Jin, Fengping and Knipschild, Lars and Herbrych, Jacek and De Raedt, Hans and Michielsen, Kristel and Gemmer, Jochen and Steinigeweg, Robin},
abstractNote = {},
doi = {10.1103/PhysRevB.99.144422},
journal = {Physical Review B},
number = 14,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on April 22, 2020
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The kernel polynomial method
journal, March 2006

  • Weiße, Alexander; Wellein, Gerhard; Alvermann, Andreas
  • Reviews of Modern Physics, Vol. 78, Issue 1
  • DOI: 10.1103/RevModPhys.78.275

Decoherence entails exponential forgetting in systems complying with the eigenstate thermalization hypothesis
journal, January 2019


Thermalization and its mechanism for generic isolated quantum systems
journal, April 2008

  • Rigol, Marcos; Dunjko, Vanja; Olshanii, Maxim
  • Nature, Vol. 452, Issue 7189
  • DOI: 10.1038/nature06838

Transport in Almost Integrable Models: Perturbed Heisenberg Chains
journal, February 2006


Hydrodynamic Diffusion in Integrable Systems
journal, October 2018


Scaling of diffusion constants in the spin- 1 2 XX ladder
journal, September 2014


The thermal conductivity of the spin-½ XXZ chain at arbitrary temperature
journal, February 2002

  • Klümper, Andreas; Sakai, Kazumitsu
  • Journal of Physics A: Mathematical and General, Vol. 35, Issue 9
  • DOI: 10.1088/0305-4470/35/9/307

Generalized Gibbs ensemble in integrable lattice models
journal, June 2016


Transport in Out-of-Equilibrium X X Z Chains: Exact Profiles of Charges and Currents
journal, November 2016


Charge diffusion in the one-dimensional Hubbard model
journal, August 2017


Multispinon Continua at Zero and Finite Temperature in a Near-Ideal Heisenberg Chain
journal, September 2013


Colloquium : Nonequilibrium dynamics of closed interacting quantum systems
journal, August 2011

  • Polkovnikov, Anatoli; Sengupta, Krishnendu; Silva, Alessandro
  • Reviews of Modern Physics, Vol. 83, Issue 3
  • DOI: 10.1103/RevModPhys.83.863

Quantum correlations and entanglement in far-from-equilibrium spin systems
journal, December 2014

  • Hazzard, Kaden R. A.; van den Worm, Mauritz; Foss-Feig, Michael
  • Physical Review A, Vol. 90, Issue 6
  • DOI: 10.1103/PhysRevA.90.063622

Ultracold Atoms Out of Equilibrium
journal, March 2015


Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
journal, April 2016


Spin Transport in a One-Dimensional Anisotropic Heisenberg Model
journal, May 2011


Density dynamics from current auto-correlations at finite time- and length-scales
journal, October 2009


Spin diffusion from an inhomogeneous quench in an integrable system
journal, July 2017

  • Ljubotina, Marko; Žnidarič, Marko; Prosen, Tomaž
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms16117

Energy diffusion in the ergodic phase of a many body localizable spin chain
journal, May 2017

  • Varma, V. K.; Lerose, A.; Pietracaprina, F.
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2017, Issue 5
  • DOI: 10.1088/1742-5468/aa668b

Canonical Typicality
journal, February 2006


Proposal for measuring the finite-temperature Drude weight of integrable systems
journal, February 2017


Canonical Thermal Pure Quantum State
journal, July 2013


Relation between far-from-equilibrium dynamics and equilibrium correlation functions for binary operators
journal, January 2019


Diffusive high-temperature transport in the one-dimensional Hubbard model
journal, September 2012


Focus on Dynamics and Thermalization in Isolated Quantum Many-Body Systems
journal, May 2010


Nonequilibrium thermal transport and its relation to linear response
journal, November 2013


Transport and conservation laws
journal, May 1997


Energy spread and current-current correlation in quantum systems
journal, February 2015


Diffusion in Deterministic Interacting Lattice Systems
journal, September 2017


High Temperature Thermal Conductivity of Two-Leg Spin- 1 / 2 Ladders
journal, February 2004


Dynamics in a two-leg spin ladder with a four-spin cyclic interaction
journal, March 2009


Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
journal, June 2013

  • Mourigal, Martin; Enderle, Mechthild; Klöpperpieper, Axel
  • Nature Physics, Vol. 9, Issue 7
  • DOI: 10.1038/nphys2652

Typicality for Generalized Microcanonical Ensembles
journal, October 2007


Families of Quasilocal Conservation Laws and Quantum Spin Transport
journal, August 2013


Emergent Hydrodynamics in Integrable Quantum Systems Out of Equilibrium
journal, December 2016

  • Castro-Alvaredo, Olalla A.; Doyon, Benjamin; Yoshimura, Takato
  • Physical Review X, Vol. 6, Issue 4
  • DOI: 10.1103/PhysRevX.6.041065

Quantum simulations with trapped ions
journal, April 2012


Heat Conductivity of the Heisenberg Spin- 1 / 2 Ladder: From Weak to Strong Breaking of Integrability
journal, January 2016


Thermal transport in a one-dimensional Z 2 spin liquid
journal, July 2017


Low temperature ballistic spin transport in the S = 1/2 antiferromagnetic Heisenberg chain compound SrCuO 2
journal, August 2013


Heat Transport in Spin Chains with Weak Spin-Phonon Coupling
journal, January 2016


The density-matrix renormalization group in the age of matrix product states
journal, January 2011


Fast algorithm for finding the eigenvalue distribution of very large matrices
journal, September 2000


Dynamic correlations of antiferromagnetic spin- XXZ chains at arbitrary temperature from complete diagonalization
journal, March 1997


Zero-frequency transport properties of one-dimensional spin- 1 2 systems
journal, October 2003


Fourier's law in a quantum spin chain and the onset of quantum chaos
journal, November 2005


O 17 NMR Study of q = 0 Spin Excitations in a Nearly Ideal S = 1 2 1D Heisenberg Antiferromagnet, Sr 2 CuO 3 , up to 800 K
journal, November 2001


From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
journal, May 2016


Entanglement and the foundations of statistical mechanics
journal, October 2006

  • Popescu, Sandu; Short, Anthony J.; Winter, Andreas
  • Nature Physics, Vol. 2, Issue 11
  • DOI: 10.1038/nphys444

Dynamical Typicality of Quantum Expectation Values
journal, March 2009


Spintronics: A Spin-Based Electronics Vision for the Future
journal, November 2001

  • Wolf, S. A.; Awschalom, D. D.; Buhrman, R. A.
  • Science, Vol. 294, Issue 5546, p. 1488-1495
  • DOI: 10.1126/science.1065389

The density-matrix renormalization group
journal, April 2005


Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws
journal, September 2018


Real-time dynamics of typical and untypical states in nonintegrable systems
journal, May 2018


Algorithm for Linear Response Functions at Finite Temperatures: Application to ESR Spectrum of s = 1 2 Antiferromagnet Cu Benzoate
journal, January 2003


Conservation laws, integrability, and transport in one-dimensional quantum systems
journal, January 2011


Real-time and real-space spin and energy dynamics in one-dimensional spin- 1 2 systems induced by local quantum quenches at finite temperatures
journal, February 2014


Spin and thermal conductivity of quantum spin chains and ladders
journal, March 2015


Quantum many-body systems out of equilibrium
journal, February 2015

  • Eisert, J.; Friesdorf, M.; Gogolin, C.
  • Nature Physics, Vol. 11, Issue 2
  • DOI: 10.1038/nphys3215

Integrable Spin Chain for the SL ( 2 , R ) / U ( 1 ) Black Hole Sigma Model
journal, February 2012


Fourier’s Law from Schrödinger Dynamics
journal, October 2005


Magnetization transport in spin ladders and next-nearest-neighbor chains
journal, November 2013


Thermal Conductivity of the Hole-Doped Spin Ladder System Sr 1 4 x Ca x Cu 24 O 41
journal, March 2000


Magnon heat transport in ( Sr , Ca , La ) 14 Cu 24 O 41
journal, October 2001


Operator Spreading in Random Unitary Circuits
journal, April 2018


Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
journal, April 2018

  • von Keyserlingk, C. W.; Rakovszky, Tibor; Pollmann, Frank
  • Physical Review X, Vol. 8, Issue 2
  • DOI: 10.1103/PhysRevX.8.021013

Thermodynamics of spin S = 1 / 2 antiferromagnetic uniform and alternating-exchange Heisenberg chains
journal, April 2000


Real-time broadening of nonequilibrium density profiles and the role of the specific initial-state realization
journal, January 2017


Typical Pure States and Nonequilibrium Processes in Quantum Many-Body Systems
journal, September 2014

  • Monnai, Takaaki; Sugita, Ayumu
  • Journal of the Physical Society of Japan, Vol. 83, Issue 9
  • DOI: 10.7566/JPSJ.83.094001

Efficient scheme for numerical simulations of the spin-bath decoherence
journal, May 2003


Dynamical typicality of isolated many-body quantum systems
journal, June 2018


Stability of quantum dynamics under constant Hamiltonian perturbations
journal, December 2018


Spin-Current Autocorrelations from Single Pure-State Propagation
journal, March 2014


Quantum statistical mechanics in a closed system
journal, February 1991


Chaos and quantum thermalization
journal, August 1994


Spin Transport in the X X Z Chain at Finite Temperature and Momentum
journal, December 2011


Local Spin Relaxation within the Random Heisenberg Chain
journal, October 2013


Thermal transport in a spin- 1 2 Heisenberg chain coupled to a magnetic or nonmagnetic impurity
journal, May 2010


Regression Relation for Pure Quantum States and Its Implications for Efficient Computing
journal, February 2013


Coexistence of Diffusive and Ballistic Transport in a Simple Spin Ladder
journal, February 2013


Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas
journal, February 2012

  • Trotzky, S.; Chen, Y-A.; Flesch, A.
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2232

Transport in quasi one-dimensional spin-1/2 systems
journal, December 2007

  • Heidrich-Meisner, F.; Honecker, A.; Brenig, W.
  • The European Physical Journal Special Topics, Vol. 151, Issue 1
  • DOI: 10.1140/epjst/e2007-00369-2

Spin hydrodynamics in the S = 1 2 anisotropic Heisenberg chain
journal, September 2012