Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation
Abstract
In the nonadiabatic dynamics across a quantum phase transition, the Kibble-Zurek mechanism predicts that the formation of topological defects is suppressed as a universal power law with the quench time. In inhomogeneous systems, the critical point is reached locally and causality reduces the effective system size for defect formation to regions where the velocity of the critical front is slower than the sound velocity, favoring adiabatic dynamics. The reduced density of excitations exhibits a much steeper dependence on the quench rate and is also described by a universal power-law, that we demonstrated in a quantum Ising chain.
- Authors:
-
- Univ. de los Andes, Bogotá, D.C. (Colombia). Dept. de Física; Univ. of Massachusetts, Amherst, MA (United States). Dept. of Physics
- Donostia International Physics Center, San Sebastián (Spain); IKERBASQUE, Basque Foundation for Science, Bilbao (Spain); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1511612
- Report Number(s):
- LA-UR-18-28925
Journal ID: ISSN 0031-9007; PRLTAO
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 122; Journal Issue: 8; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Gomez-Ruiz, F.J., and Del Campo, Adolfo. Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.122.080604.
Gomez-Ruiz, F.J., & Del Campo, Adolfo. Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation. United States. https://doi.org/10.1103/PhysRevLett.122.080604
Gomez-Ruiz, F.J., and Del Campo, Adolfo. Fri .
"Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation". United States. https://doi.org/10.1103/PhysRevLett.122.080604. https://www.osti.gov/servlets/purl/1511612.
@article{osti_1511612,
title = {Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation},
author = {Gomez-Ruiz, F.J. and Del Campo, Adolfo},
abstractNote = {In the nonadiabatic dynamics across a quantum phase transition, the Kibble-Zurek mechanism predicts that the formation of topological defects is suppressed as a universal power law with the quench time. In inhomogeneous systems, the critical point is reached locally and causality reduces the effective system size for defect formation to regions where the velocity of the critical front is slower than the sound velocity, favoring adiabatic dynamics. The reduced density of excitations exhibits a much steeper dependence on the quench rate and is also described by a universal power-law, that we demonstrated in a quantum Ising chain.},
doi = {10.1103/PhysRevLett.122.080604},
journal = {Physical Review Letters},
number = 8,
volume = 122,
place = {United States},
year = {Fri Mar 01 00:00:00 EST 2019},
month = {Fri Mar 01 00:00:00 EST 2019}
}
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Works referenced in this record:
Controlling quantum critical dynamics of isolated systems
journal, February 2015
- del Campo, A.; Sengupta, K.
- The European Physical Journal Special Topics, Vol. 224, Issue 1
The density-matrix renormalization group in the age of matrix product states
journal, January 2011
- Schollwöck, Ulrich
- Annals of Physics, Vol. 326, Issue 1
Optimal Nonlinear Passage Through a Quantum Critical Point
journal, August 2008
- Barankov, Roman; Polkovnikov, Anatoli
- Physical Review Letters, Vol. 101, Issue 7
Optimal Control for Unitary Preparation of Many-Body States: Application to Luttinger Liquids
journal, July 2011
- Rahmani, Armin; Chamon, Claudio
- Physical Review Letters, Vol. 107, Issue 1
The inhomogeneous Kibble–Zurek mechanism: vortex nucleation during Bose–Einstein condensation
journal, August 2011
- del Campo, A.; Retzker, A.; Plenio, M. B.
- New Journal of Physics, Vol. 13, Issue 8
Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model
journal, December 2005
- Dziarmaga, Jacek
- Physical Review Letters, Vol. 95, Issue 24
Dynamics of a Quantum Phase Transition
journal, September 2005
- Zurek, Wojciech H.; Dorner, Uwe; Zoller, Peter
- Physical Review Letters, Vol. 95, Issue 10
Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model
journal, September 2012
- del Campo, Adolfo; Rams, Marek M.; Zurek, Wojciech H.
- Physical Review Letters, Vol. 109, Issue 11
Suppressing defect production during passage through a quantum critical point
journal, September 2014
- Sau, Jay D.; Sengupta, K.
- Physical Review B, Vol. 90, Issue 10
Cosmological experiments in condensed matter systems
journal, November 1996
- Zurek, W. H.
- Physics Reports, Vol. 276, Issue 4
Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
journal, May 2015
- Campbell, Steve; De Chiara, Gabriele; Paternostro, Mauro
- Physical Review Letters, Vol. 114, Issue 17
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
Dynamics of a quantum phase transition and relaxation to a steady state
journal, September 2010
- Dziarmaga, Jacek
- Advances in Physics, Vol. 59, Issue 6
Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
journal, December 2016
- Rams, Marek M.; Mohseni, Masoud; Campo, Adolfo del
- New Journal of Physics, Vol. 18, Issue 12
Simulating physics with computers
journal, June 1982
- Feynman, Richard P.
- International Journal of Theoretical Physics, Vol. 21, Issue 6-7
Optimal Control Technique for Many-Body Quantum Dynamics
journal, May 2011
- Doria, Patrick; Calarco, Tommaso; Montangero, Simone
- Physical Review Letters, Vol. 106, Issue 19
Density-matrix algorithms for quantum renormalization groups
journal, October 1993
- White, Steven R.
- Physical Review B, Vol. 48, Issue 14
The Simplest Quantum Model Supporting the Kibble-Zurek Mechanism of Topological Defect Production: Landau-Zener Transitions from a New Perspective
journal, July 2005
- Damski, Bogdan
- Physical Review Letters, Vol. 95, Issue 3
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
Defect Production in Nonlinear Quench across a Quantum Critical Point
journal, July 2008
- Sen, Diptiman; Sengupta, K.; Mondal, Shreyoshi
- Physical Review Letters, Vol. 101, Issue 1
Topology of cosmic domains and strings
journal, August 1976
- Kibble, T. W. B.
- Journal of Physics A: Mathematical and General, Vol. 9, Issue 8
Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals
journal, August 2013
- Pyka, K.; Keller, J.; Partner, H. L.
- Nature Communications, Vol. 4, Issue 1
Observation of the Kibble–Zurek scaling law for defect formation in ion crystals
journal, August 2013
- Ulm, S.; Roßnagel, J.; Jacob, G.
- Nature Communications, Vol. 4, Issue 1
Exponential Speedup of Quantum Annealing by Inhomogeneous Driving of the Transverse Field
journal, February 2018
- Susa, Yuki; Yamashiro, Yu; Yamamoto, Masayuki
- Journal of the Physical Society of Japan, Vol. 87, Issue 2
Dynamics of an inhomogeneous quantum phase transition
journal, May 2010
- Dziarmaga, Jacek; Rams, Marek M.
- New Journal of Physics, Vol. 12, Issue 5
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Structural Defects in Ion Chains by Quenching the External Potential: The Inhomogeneous Kibble-Zurek Mechanism
journal, August 2010
- del Campo, A.; De Chiara, G.; Morigi, Giovanna
- Physical Review Letters, Vol. 105, Issue 7
On phase ordering behind the propagating front of a second-order transition
journal, January 1997
- Kibble, T. W. B.; Volovik, G. E.
- Journal of Experimental and Theoretical Physics Letters, Vol. 65, Issue 1
Tunable two-dimensional arrays of single Rydberg atoms for realizing quantum Ising models
journal, June 2016
- Labuhn, Henning; Barredo, Daniel; Ravets, Sylvain
- Nature, Vol. 534, Issue 7609
Universality of phase transition dynamics: Topological defects from symmetry breaking
journal, March 2014
- del Campo, Adolfo; Zurek, Wojciech H.
- International Journal of Modern Physics A, Vol. 29, Issue 08
Some implications of a cosmological phase transition
journal, December 1980
- Kibble, T. W. B.
- Physics Reports, Vol. 67, Issue 1
Dynamical symmetry breaking with optimal control: Reducing the number of pieces
journal, December 2013
- Power, Matthew J. M.; De Chiara, Gabriele
- Physical Review B, Vol. 88, Issue 21
Adiabatic dynamics of an inhomogeneous quantum phase transition: the case of a z >1 dynamical exponent
journal, October 2010
- Dziarmaga, Jacek; Rams, Marek M.
- New Journal of Physics, Vol. 12, Issue 10
Spontaneous creation of Kibble–Zurek solitons in a Bose–Einstein condensate
journal, September 2013
- Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone
- Nature Physics, Vol. 9, Issue 10
Critical Quench Dynamics in Confined Systems
journal, May 2010
- Collura, Mario; Karevski, Dragi
- Physical Review Letters, Vol. 104, Issue 20
Adiabatic tracking of quantum many-body dynamics
journal, December 2014
- Saberi, Hamed; Opatrný, Tomáš; Mølmer, Klaus
- Physical Review A, Vol. 90, Issue 6
Digitized adiabatic quantum computing with a superconducting circuit
journal, June 2016
- Barends, R.; Shabani, A.; Lamata, L.
- Nature, Vol. 534, Issue 7606
Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
journal, September 2013
- del Campo, A.; Kibble, T. W. B.; Zurek, W. H.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 40
Goals and opportunities in quantum simulation
journal, April 2012
- Cirac, J. Ignacio; Zoller, Peter
- Nature Physics, Vol. 8, Issue 4
Universal adiabatic dynamics in the vicinity of a quantum critical point
journal, October 2005
- Polkovnikov, Anatoli
- Physical Review B, Vol. 72, Issue 16
Non-local quantum superpositions of topological defects
journal, December 2011
- Dziarmaga, Jacek; Zurek, Wojciech H.; Zwolak, Michael
- Nature Physics, Vol. 8, Issue 1
Cosmological experiments in superfluid helium?
journal, October 1985
- Zurek, W. H.
- Nature, Vol. 317, Issue 6037
Phase transition in space: how far does a symmetry bend before it breaks?
journal, June 2008
- Zurek, Wojciech H.; Dorner, Uwe
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1877
Causality in Condensates: Gray Solitons as Relics of BEC Formation
journal, March 2009
- Zurek, Wojciech H.
- Physical Review Letters, Vol. 102, Issue 10
Spontaneous nucleation and dynamics of kink defects in zigzag arrays of trapped ions
journal, May 2013
- Ejtemaee, S.; Haljan, P. C.
- Physical Review A, Vol. 87, Issue 5
Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
journal, October 2018
- Mohseni, Masoud; Strumpfer, Johan; Rams, Marek M.
- New Journal of Physics, Vol. 20, Issue 10
Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
conference, February 2014
- Campo, Adolfo Del; Zurek, Wojciech H.
- Symmetry and Fundamental Physics: Tom Kibble at 80
Critical quench dynamics in confined systems
text, January 2010
- Collura, Mario; Karevski, Dragi
- arXiv
The density-matrix renormalization group in the age of matrix product states
text, January 2010
- Schollwoeck, Ulrich
- arXiv
Optimal control for unitary preparation of many-body states: application to Luttinger liquids
text, January 2010
- Rahmani, Armin; Chamon, Claudio
- arXiv
Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
text, January 2012
- del Campo, Adolfo; Rams, Marek M.; Zurek, Wojciech H.
- arXiv
Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
text, January 2013
- del Campo, A.; Kibble, T. W. B.; Zurek, W. H.
- arXiv
Observation of the Kibble-Zurek scaling law for defect formation in ion crystals
text, January 2013
- Ulm, S.; Roßnagel, J.; Jacob, G.
- arXiv
Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
text, January 2013
- Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone
- arXiv
Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
text, January 2013
- del Campo, Adolfo; Zurek, Wojciech H.
- arXiv
Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
text, January 2014
- Campbell, Steve; De Chiara, Gabriele; Paternostro, Mauro
- 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
Exponential Speedup of Quantum Annealing by Inhomogeneous Driving of the Transverse Field
text, January 2018
- Susa, Yuki; Yamashiro, Yu; Yamamoto, Masayuki
- arXiv
Dynamics of a Quantum Phase Transition
text, January 2005
- Zurek, Wojciech H.; Dorner, Uwe; Zoller, Peter
- arXiv
Dynamics of quantum phase transition: exact solution in quantum Ising model
text, January 2005
- Dziarmaga, Jacek
- arXiv
On Phase Ordering Behind the Propagating Front of a Second-Order Transition
text, January 1996
- Kibble, T. W. B.; Volovik, G. E.
- arXiv
Efficient simulation of one-dimensional quantum many-body systems
text, January 2003
- Vidal, G.
- arXiv
Works referencing / citing this record:
Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
text, January 2019
- Borish, Victoria; Marković, Ognjen; Hines, Jacob A.
- arXiv