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

Title: Effective Theory of Nonadiabatic Quantum Evolution Based on the Quantum Geometric Tensor

; ; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
Grant/Contract Number:  
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 2; Journal ID: ISSN 0031-9007
American Physical Society
Country of Publication:
United States

Citation Formats

Bleu, O., Malpuech, G., Gao, Y., and Solnyshkov, D. D. Effective Theory of Nonadiabatic Quantum Evolution Based on the Quantum Geometric Tensor. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.020401.
Bleu, O., Malpuech, G., Gao, Y., & Solnyshkov, D. D. Effective Theory of Nonadiabatic Quantum Evolution Based on the Quantum Geometric Tensor. United States. doi:10.1103/PhysRevLett.121.020401.
Bleu, O., Malpuech, G., Gao, Y., and Solnyshkov, D. D. Mon . "Effective Theory of Nonadiabatic Quantum Evolution Based on the Quantum Geometric Tensor". United States. doi:10.1103/PhysRevLett.121.020401.
title = {Effective Theory of Nonadiabatic Quantum Evolution Based on the Quantum Geometric Tensor},
author = {Bleu, O. and Malpuech, G. and Gao, Y. and Solnyshkov, D. D.},
abstractNote = {},
doi = {10.1103/PhysRevLett.121.020401},
journal = {Physical Review Letters},
number = 2,
volume = 121,
place = {United States},
year = {2018},
month = {7}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.121.020401

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Average fidelity between random quantum states
journal, March 2005

Classifying and measuring geometry of a quantum ground state manifold
journal, August 2013

  • Kolodrubetz, Michael; Gritsev, Vladimir; Polkovnikov, Anatoli
  • Physical Review B, Vol. 88, Issue 6
  • DOI: 10.1103/PhysRevB.88.064304

Recent advances in the spin Hall effect of light
journal, March 2017

  • Ling, Xiaohui; Zhou, Xinxing; Huang, Kun
  • Reports on Progress in Physics, Vol. 80, Issue 6
  • DOI: 10.1088/1361-6633/aa5397

Superfluidity in topologically nontrivial flat bands
journal, November 2015

  • Peotta, Sebastiano; Törmä, Päivi
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9944

Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band
journal, July 2016

Singularity of the time-energy uncertainty in adiabatic perturbation and cycloids on a Bloch sphere
journal, February 2016

  • Oh, Sangchul; Hu, Xuedong; Nori, Franco
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep20824

From Fermi's Golden Rule to the Vacuum Rabi Splitting: Magnetopolaritons in a Semiconductor Optical Microcavity
journal, May 1995

Appearance of gauge fields and forces beyond the adiabatic approximation
journal, August 2010

Geometry of quantum evolution
journal, October 1990

Spin and pseudospins in layered transition metal dichalcogenides
journal, April 2014

  • Xu, Xiaodong; Yao, Wang; Xiao, Di
  • Nature Physics, Vol. 10, Issue 5
  • DOI: 10.1038/nphys2942

Geometry of Bloch states probed by Stückelberg interferometry
journal, December 2015

Berry Phase, Hyperorbits, and the Hofstadter Spectrum
journal, August 1995

Riemannian structure on manifolds of quantum states
journal, September 1980

  • Provost, J. P.; Vallee, G.
  • Communications in Mathematical Physics, Vol. 76, Issue 3
  • DOI: 10.1007/BF02193559

Experimental reconstruction of the Berry curvature in a Floquet Bloch band
journal, May 2016

Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate
journal, March 2003

Geometrical effects in orbital magnetic susceptibility
journal, June 2015

Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport
journal, December 2007

Intrinsic relative magnetoconductivity of nonmagnetic metals
journal, April 2017

Measuring Topological Invariants in Photonic Systems
journal, May 2014

Non-Adiabatic Crossing of Energy Levels
journal, September 1932

  • Zener, C.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 137, Issue 833
  • DOI: 10.1098/rspa.1932.0165

The valley Hall effect in MoS2 transistors
journal, June 2014

Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
journal, June 1999

Geometric phase in Stückelberg interferometry
journal, April 2015

Pseudospin order in monolayer, bilayer and double-layer graphene
journal, January 2012

Anomalous Hall Effect in Weyl Metals
journal, October 2014

Asymmetry gap in the electronic band structure of bilayer graphene
journal, October 2006

Measuring the quantum geometry of Bloch bands with current noise
journal, June 2013

Hall Effect in Ferromagnetics
journal, September 1954

Anomalous Hall Effect in Type-I Weyl Metals
journal, July 2017

Signatures of Bloch-Band Geometry on Excitons: Nonhydrogenic Spectra in Transition-Metal Dichalcogenides
journal, October 2015

Anomalous Hall effect
journal, May 2010

Linear optical quantum computing with photonic qubits
journal, January 2007

Berry curvature, orbital moment, and effective quantum theory of electrons in electromagnetic fields
journal, April 2008

Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
journal, July 2006

Landau–Zener–Stückelberg interferometry
journal, July 2010

Anomalous and Quantum Hall Effects in Lossy Photonic Lattices
journal, April 2014

Biased Bilayer Graphene: Semiconductor with a Gap Tunable by the Electric Field Effect
journal, November 2007

Optical Spin Hall Effect
journal, September 2005

Spontaneous Quantum Hall States in Chirally Stacked Few-Layer Graphene Systems
journal, April 2011

Nonadiabatic transitions induced by a time-dependent Hamiltonian in the semiclassical/adiabatic limit: The two-state case
journal, January 1976

  • Davis, Jon P.
  • The Journal of Chemical Physics, Vol. 64, Issue 8
  • DOI: 10.1063/1.432648

Hall Effect of Light
journal, August 2004

Coherent wave-packet evolution in coupled bands
journal, August 2005

Colloquium: Topological insulators
journal, November 2010

Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011

Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984

  • Berry, M. V.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802
  • DOI: 10.1098/rspa.1984.0023

Measurement of Chern numbers through center-of-mass responses
journal, June 2016

Experimental measurement of the Berry curvature from anomalous transport
journal, February 2017

  • Wimmer, Martin; Price, Hannah M.; Carusotto, Iacopo
  • Nature Physics, Vol. 13, Issue 6
  • DOI: 10.1038/nphys4050

Magnetic field tuning of exciton-polaritons in a semiconductor microcavity
journal, February 2015

Giant photonic spin Hall effect in momentum space in a structured metamaterial with spatially varying birefringence
journal, May 2015

  • Ling, Xiaohui; Zhou, Xinxing; Yi, Xunong
  • Light: Science & Applications, Vol. 4, Issue 5
  • DOI: 10.1038/lsa.2015.63

Experimental realization of the topological Haldane model with ultracold fermions
journal, November 2014

  • Jotzu, Gregor; Messer, Michael; Desbuquois, Rémi
  • Nature, Vol. 515, Issue 7526
  • DOI: 10.1038/nature13915

Information-Theoretic Differential Geometry of Quantum Phase Transitions
journal, September 2007

Universal Intrinsic Spin Hall Effect
journal, March 2004

Field Induced Positional Shift of Bloch Electrons and Its Dynamical Implications
journal, April 2014

Exciton-light coupling in single and coupled semiconductor microcavities: Polariton dispersion and polarization splitting
journal, February 1999

  • Panzarini, Giovanna; Andreani, Lucio Claudio; Armitage, A.
  • Physical Review B, Vol. 59, Issue 7
  • DOI: 10.1103/PhysRevB.59.5082

Valleytronics in 2D materials
journal, August 2016

Berry phase effects on electronic properties
journal, July 2010

Characteristic Classes of Hermitian Manifolds
journal, January 1946

  • Chern, Shiing-shen
  • The Annals of Mathematics, Vol. 47, Issue 1
  • DOI: 10.2307/1969037

Geometrodynamics of spinning light
journal, November 2008

Polariton-polariton interaction constants in microcavities
journal, August 2010

Geometric orbital susceptibility: Quantum metric without Berry curvature
journal, October 2016