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Title: Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator

Authors:
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1487181
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 98 Journal Issue: 22; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Bukov, Marin. Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.224305.
Bukov, Marin. Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator. United States. doi:10.1103/PhysRevB.98.224305.
Bukov, Marin. Mon . "Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator". United States. doi:10.1103/PhysRevB.98.224305.
@article{osti_1487181,
title = {Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator},
author = {Bukov, Marin},
abstractNote = {},
doi = {10.1103/PhysRevB.98.224305},
journal = {Physical Review B},
number = 22,
volume = 98,
place = {United States},
year = {2018},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevB.98.224305

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Cited by: 6 works
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Works referenced in this record:

Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields
journal, August 2014


Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
journal, November 2015


Colloquium: Atomic quantum gases in periodically driven optical lattices
journal, March 2017


Synthetic Gauge Fields in Synthetic Dimensions
journal, January 2014


Feedback control of quantum systems using continuous state estimation
journal, October 1999


Mastering the game of Go with deep neural networks and tree search
journal, January 2016

  • Silver, David; Huang, Aja; Maddison, Chris J.
  • Nature, Vol. 529, Issue 7587
  • DOI: 10.1038/nature16961

Heating and many-body resonances in a periodically driven two-band system
journal, April 2016


Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
journal, March 2015


Scattering theory for Floquet-Bloch states
journal, March 2015


Magnetically Generated Spin-Orbit Coupling for Ultracold Atoms
journal, September 2013


Selective Bond Dissociation and Rearrangement with Optimally Tailored, Strong-Field Laser Pulses
journal, March 2001

  • Levis, Robert J.; Menkir, Getahun M.; Rabitz, Herschel
  • Science, Vol. 292, Issue 5517, p. 709-713
  • DOI: 10.1126/science.1059133

Frustrated quantum antiferromagnetism with ultracold bosons in a triangular lattice
journal, January 2010


Tunable Spin-Orbit Coupling via Strong Driving in Ultracold-Atom Systems
journal, March 2015


Time-dependent Floquet theory and absence of an adiabatic limit
journal, November 1997


Non-Abelian Gauge Fields and Topological Insulators in Shaken Optical Lattices
journal, October 2012


Whither the Future of Controlling Quantum Phenomena?
journal, May 2000


Phase Transition in Protocols Minimizing Work Fluctuations
journal, May 2018


Flow Navigation by Smart Microswimmers via Reinforcement Learning
journal, April 2017


A Survey of Quantum Lyapunov Control Methods
journal, January 2013

  • Cong, Shuang; Meng, Fangfang
  • The Scientific World Journal, Vol. 2013
  • DOI: 10.1155/2013/967529

Tunable Gauge Potential for Neutral and Spinless Particles in Driven Optical Lattices
journal, May 2012


Coherent quantum control of two-photon transitions by a femtosecond laser pulse
journal, November 1998

  • Meshulach, Doron; Silberberg, Yaron
  • Nature, Vol. 396, Issue 6708, p. 239-242
  • DOI: 10.1038/24329

Cloud Quantum Computing of an Atomic Nucleus
journal, May 2018


Colloquium : Optimal control of high-harmonic generation
journal, January 2008

  • Winterfeldt, Carsten; Spielmann, Christian; Gerber, Gustav
  • Reviews of Modern Physics, Vol. 80, Issue 1
  • DOI: 10.1103/RevModPhys.80.117

Ultrafast and reversible control of the exchange interaction in Mott insulators
journal, March 2015

  • Mentink, J. H.; Balzer, K.; Eckstein, M.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7708

Resonant Thermalization of Periodically Driven Strongly Correlated Electrons
journal, May 2018


Quantum control of energy flow in light harvesting
journal, May 2002

  • Herek, Jennifer L.; Wohlleben, Wendel; Cogdell, Richard J.
  • Nature, Vol. 417, Issue 6888, p. 533-535
  • DOI: 10.1038/417533a

Learning to soar in turbulent environments
journal, August 2016

  • Reddy, Gautam; Celani, Antonio; Sejnowski, Terrence J.
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 33
  • DOI: 10.1073/pnas.1606075113

QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems part I: spin chains
journal, January 2017


Broken symmetry in a two-qubit quantum control landscape
journal, May 2018


Femtosecond quantum control of molecular bond formation
journal, May 2010

  • Nuernberger, P.; Wolpert, D.; Weiss, H.
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 23
  • DOI: 10.1073/pnas.0913607107

Visualizing edge states with an atomic Bose gas in the quantum Hall regime
journal, September 2015


Adiabatic perturbation theory and geometry of periodically-driven systems
journal, May 2017


Incoherent Control of Quantum Systems With Wavefunction-Controllable Subspaces via Quantum Reinforcement Learning
journal, August 2008

  • Daoyi Dong,
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), Vol. 38, Issue 4
  • DOI: 10.1109/TSMCB.2008.926603

Machine learning & artificial intelligence in the quantum domain: a review of recent progress
journal, June 2018


Observation of Bose–Einstein condensation in a strong synthetic magnetic field
journal, August 2015

  • Kennedy, Colin J.; Burton, William Cody; Chung, Woo Chang
  • Nature Physics, Vol. 11, Issue 10
  • DOI: 10.1038/nphys3421

Solving the quantum many-body problem with artificial neural networks
journal, February 2017


Q-learning
journal, May 1992

  • Watkins, Christopher J. C. H.; Dayan, Peter
  • Machine Learning, Vol. 8, Issue 3-4
  • DOI: 10.1007/BF00992698

Light-induced gauge fields for ultracold atoms
journal, November 2014


Femtosecond pulse shaping by an evolutionary algorithm with feedback
journal, December 1997

  • Baumert, T.; Brixner, T.; Seyfried, V.
  • Applied Physics B: Lasers and Optics, Vol. 65, Issue 6, p. 779-782
  • DOI: 10.1007/s003400050346

Control of Chemical Reactions by Feedback-Optimized Phase-Shaped Femtosecond Laser Pulses
journal, October 1998


Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
journal, December 2014

  • Aidelsburger, M.; Lohse, M.; Schweizer, C.
  • Nature Physics, Vol. 11, Issue 2
  • DOI: 10.1038/nphys3171

Shaped-pulse optimization of coherent emission of high-harmonic soft X-rays
journal, July 2000

  • Bartels, R.; Backus, S.; Zeek, E.
  • Nature, Vol. 406, Issue 6792, p. 164-166
  • DOI: 10.1038/35018029

Training Schrödinger’s cat: quantum optimal control: Strategic report on current status, visions and goals for research in Europe
journal, December 2015

  • Glaser, Steffen J.; Boscain, Ugo; Calarco, Tommaso
  • The European Physical Journal D, Vol. 69, Issue 12
  • DOI: 10.1140/epjd/e2015-60464-1

Adaptive femtosecond pulse compression
journal, January 1997

  • Yelin, D.; Meshulach, D.; Silberberg, Y.
  • Optics Letters, Vol. 22, Issue 23, p. 1793-1795
  • DOI: 10.1364/OL.22.001793

Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms
journal, February 2005

  • Khaneja, Navin; Reiss, Timo; Kehlet, Cindie
  • Journal of Magnetic Resonance, Vol. 172, Issue 2
  • DOI: 10.1016/j.jmr.2004.11.004

Human-level control through deep reinforcement learning
journal, February 2015

  • Mnih, Volodymyr; Kavukcuoglu, Koray; Silver, David
  • Nature, Vol. 518, Issue 7540
  • DOI: 10.1038/nature14236

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


Creating State-Dependent Lattices for Ultracold Fermions by Magnetic Gradient Modulation
journal, August 2015


Photonic Floquet topological insulators
journal, April 2013

  • Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
  • Nature, Vol. 496, Issue 7444
  • DOI: 10.1038/nature12066

Photovoltaic Hall effect in graphene
journal, February 2009


Coherent control using adaptive learning algorithms
journal, May 2001

  • Pearson, B. J.; White, J. L.; Weinacht, T. C.
  • Physical Review A, Vol. 63, Issue 6, Article No. 063412
  • DOI: 10.1103/PhysRevA.63.063412

The theory of variational hybrid quantum-classical algorithms
journal, February 2016


Superfluid-Insulator Transition in a Periodically Driven Optical Lattice
journal, December 2005


Quantum Control of Gas-Phase and Liquid-Phase Femtochemistry
journal, May 2003


Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
journal, March 2016


Dynamical stability of a many-body Kapitza pendulum
journal, September 2015


Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
journal, September 2015


Floquet Dynamics in Driven Fermi-Hubbard Systems
journal, December 2018


Quantum theory of continuous feedback
journal, March 1994


Observation of Photon-Assisted Tunneling in Optical Lattices
journal, February 2008


Observation of chiral currents with ultracold atoms in bosonic ladders
journal, July 2014

  • Atala, Marcos; Aidelsburger, Monika; Lohse, Michael
  • Nature Physics, Vol. 10, Issue 8
  • DOI: 10.1038/nphys2998

Control of the Oscillatory Interlayer Exchange Interaction with Terahertz Radiation
journal, March 2017


Population dynamics in a Floquet realization of the Harper-Hofstadter Hamiltonian
journal, June 2015


Controlling the Floquet state population and observing micromotion in a periodically driven two-body quantum system
journal, November 2017


Observation of Topological Bloch-State Defects and Their Merging Transition
journal, June 2017


Experimental Feedback Control of Quantum Systems Using Weak Measurements
journal, February 2010


Engineering Ising-XY spin-models in a triangular lattice using tunable artificial gauge fields
journal, September 2013

  • Struck, J.; Weinberg, M.; Ölschläger, C.
  • Nature Physics, Vol. 9, Issue 11
  • DOI: 10.1038/nphys2750

Fidelity-Based Probabilistic Q-Learning for Control of Quantum Systems
journal, May 2014


Enhancement and sign change of magnetic correlations in a driven quantum many-body system
journal, January 2018

  • Görg, Frederik; Messer, Michael; Sandholzer, Kilian
  • Nature, Vol. 553, Issue 7689
  • DOI: 10.1038/nature25135

Recent progress in many-body localization: Recent progress in many-body localization
journal, July 2017


Deep reinforcement learning for de novo drug design
journal, July 2018

  • Popova, Mariya; Isayev, Olexandr; Tropsha, Alexander
  • Science Advances, Vol. 4, Issue 7
  • DOI: 10.1126/sciadv.aap7885

Stroboscopic versus nonstroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
journal, October 2014


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


Quantum optimal control in a chopped basis: Applications in control of Bose-Einstein condensates
journal, August 2018


A variational eigenvalue solver on a photonic quantum processor
journal, July 2014

  • Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5213

Focus on Quantum Control
journal, October 2009


Femtosecond pulse shaping using spatial light modulators
journal, May 2000

  • Weiner, A. M.
  • Review of Scientific Instruments, Vol. 71, Issue 5, p. 1929-1960
  • DOI: 10.1063/1.1150614

Floquet analysis of a quantum system with modulated periodic driving
journal, February 2017

  • Novičenko, Viktor; Anisimovas, Egidijus; Juzeliūnas, Gediminas
  • Physical Review A, Vol. 95, Issue 2
  • DOI: 10.1103/PhysRevA.95.023615

Chopped random-basis quantum optimization
journal, August 2011


Measuring Topological Invariants in Photonic Systems
journal, May 2014


Parametric Instability Rates in Periodically Driven Band Systems
journal, May 2017


Artificial gauge fields in materials and engineered systems
journal, September 2018

  • Aidelsburger, Monika; Nascimbene, Sylvain; Goldman, Nathan
  • Comptes Rendus Physique, Vol. 19, Issue 6
  • DOI: 10.1016/j.crhy.2018.03.002

Quantum Optimally Controlled Transition Landscapes
journal, March 2004


Quantum Simulation of Frustrated Classical Magnetism in Triangular Optical Lattices
journal, July 2011


Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
journal, October 2013


Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system
journal, April 2017

  • Weidinger, Simon A.; Knap, Michael
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/srep45382

Autonomous calibration of single spin qubit operations
journal, December 2017


The cold atom Hubbard toolbox
journal, January 2005


Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
journal, October 2013


Anomalous Edge States and the Bulk-Edge Correspondence for Periodically Driven Two-Dimensional Systems
journal, July 2013


Quantum Speedup for Active Learning Agents
journal, July 2014


Topologically Robust Transport of Photons in a Synthetic Gauge Field
journal, August 2014


Spin–orbit coupling in quantum gases
journal, February 2013


Toward Strong Field Mode-Selective Chemistry
journal, December 1999

  • Weinacht, T. C.; White, J. L.; Bucksbaum, P. H.
  • The Journal of Physical Chemistry A, Vol. 103, Issue 49, p. 10166-10168
  • DOI: 10.1021/jp991977x

Quantum control landscape for a two-level system near the quantum speed limit
journal, August 2018

  • Larocca, Martín; Poggi, Pablo M.; Wisniacki, Diego A.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 38
  • DOI: 10.1088/1751-8121/aad657

Chiral ground-state currents of interacting photons in a synthetic magnetic field
journal, October 2016

  • Roushan, P.; Neill, C.; Megrant, A.
  • Nature Physics, Vol. 13, Issue 2
  • DOI: 10.1038/nphys3930

Tunneling control and localization for Bose-Einstein condensates in a frequency modulated optical lattice
journal, April 2010


Active learning machine learns to create new quantum experiments
journal, January 2018

  • Melnikov, Alexey A.; Poulsen Nautrup, Hendrik; Krenn, Mario
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 6
  • DOI: 10.1073/pnas.1714936115

Interaction Dependent Heating and Atom Loss in a Periodically Driven Optical Lattice
journal, November 2017


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

Measurement-based adaptation protocol with quantum reinforcement learning
journal, October 2018


Avoided-Level-Crossing Spectroscopy with Dressed Matter Waves
journal, December 2008


Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
journal, April 2016


Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels
journal, December 2011


Feedback quantum control of molecular electronic population transfer
journal, November 1997

  • Bardeen, Christopher J.; Yakovlev, Vladislav V.; Wilson, Kent R.
  • Chemical Physics Letters, Vol. 280, Issue 1-2, p. 151-158
  • DOI: 10.1016/S0009-2614(97)01081-6

Spin Polarization through Floquet Resonances in a Driven Central Spin Model
journal, August 2018


Reinforcement Learning in Different Phases of Quantum Control
journal, September 2018


Teaching lasers to control molecules
journal, March 1992


Reinforcement Learning with Neural Networks for Quantum Feedback
journal, September 2018


Automatic spin-chain learning to explore the quantum speed limit
journal, May 2018


Маятник с вибрирующим подвесом
journal, January 1951


Quantum machine learning with glow for episodic tasks and decision games
journal, February 2018