Transitionless Quantum Driving (Shortcut to Adiabaticity) via Judicious Coupling to Suitably Fluctuating External Fields

ORAL

Abstract

For a quantum system driven by a time-dependent Hamiltonian $H_0(t)$, Berry has shown that complete suppression of transitions between its instantaneous eigenstates is always possible via the addition of an auxiliary term to the Hamiltonian, $H_1(t)$, determined by $H_0(t)$. The resulting quantum evolution (driven by $H_0+H_1$), referred to as transitionless quantum driving (TQD), is then exactly adiabatic with respect to the instantaneous eigenstates of $H_0(t)$. We report an alternative way of achieving TQD, via the coupling of the quantum system to an external fluctuating field, with coupling parameter $J(t)$ and external field correlators (EFC) properly chosen. Averaging over the external field yields TQD with respect to the original quantum system. To illustrate this result, we explore the suppression of the Schwinger pair-creation effect in a (1+1)D gas of Dirac fermions coupled to a time-dependent electric field $E(t)$. We show that to completely suppress the Schwinger effect requires $J\propto\sqrt{E}$, and the EFCs to mimic the correlators of a 'partner' system of the original system. This partner shares properties with the SUSY partner of the Dirac fermions, suggesting a possible connection between TQD and a modified SUSY that needs to be explored further.

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Authors

  • Rafael Hipolito

    Georgia Institute of Technology

  • Alexey Feofanov

    University of Innsbruck, University of Waterloo, Korea University, Okinawa Institute of Science and Technology, University of California - Los Angeles, The University of Manchester, University of Puerto Rico at Humacao, Department of Physics & Electronics, University of Puerto Rico at Cayey, Department of Mathematics-Physics, Oak Ridge National Lab, Max Planck Institute for Chemical Physics of Solids, Department of Physics, University of Puerto Rico, Electrical Engineering Department, University of Arkansas, Department of Physics, University of Arkansas, School of Basic Sciences at IIT Mandi, H.P., India, Computational Biology, Flatiron Institute, Physics, Hong Kong Univ of Sci & Tech, University of California, Los Angeles, Max Planck Inst, Institute for Theoretical Physics, University of Cologne, Department of Physics, Simon Fraser University, Deutsches Elektronen Synchrotron (DESY), Institut fur Theoretische Physik, Univerisitat zu Berlin, Institut fur Physik, Univerisitat zu Berlin, Plymouth State University, The Graduate Center, CUNY, Nordita, KTH Royal Institute of Technology and Stockholm University, Univ of Connecticut - Storrs, Univ Stuttgart, University of Chicago, University of Texas at El Paso, University of Tulsa, California Institute of Technology, Georgia Institute of Technology, Universite Paris Diderot, Laboratoire MPQ, Universita di Trento, BEC Center, ICTP Trieste, Universita di Pisa, Inst of Physics Academia Sinica, Batelle, Cal State Univ- San Bernardino, Chemical Engineering, University of Michigan, QCD Labs, Department of Applied Physics, Aalto University, Yale University, MIT, Harvard Univ, Chemical & Environmental Engineering, University of California, Riverside, University of Frankfurt, Germany, University of Hamburg, Germany, Naval Research Laboratory, Cornell Univ, National Institute for Material Science, U.S. Naval Research Laboratory, Washington DC, Materials Engineering, University of Santa Barbara, Institute of Physics, Chinese Academy of Sciences, Univ of Texas, Arlington, MIT Lincoln Laboratory, University of Sydney, Iowa State University, Purdue University, Kansas State University, University of Maryland, John Hopkins University, Universite de Sherbrooke, Physics, Konkuk University, Perimeter Institute, University of Waterloo, D-Wave, San Jose State University, Université de Sherbrooke, Institute of Physics, EPFL - Lausanne​