Shortcuts to Adiabaticity Assisted by Counterdiabatic Born-Oppenheimer Dynamics
arXiv:1804.00434 · doi:10.1088/1367-2630/aad437
Abstract
Shortcuts to adiabaticity (STA) provide control protocols to guide the dynamics of a quantum system through an adiabatic reference trajectory in an arbitrary prescheduled time. Designing STA proves challenging in complex quantum systems when the dynamics of the degrees of freedom span different time scales. We introduce Counterdiabatic Born-Oppenheimer Dynamics (CBOD) as a framework to design STA in systems with a large separation of energy scales. CBOD exploits the Born-Oppenheimer approximation to separate the Hamiltonian into effective fast and slow degrees of freedom and calculate the corresponding counterdiabatic drivings for each subsystem. We show the validity of the CBOD technique via an example of coupled harmonic oscillators, which can be solved exactly for comparison, and further apply it to a system of two-charged particles.
arXiv comment14 pages, 3 figures, published New Journal of Physics
References in corpus (50)
- Born-Oppenheimer Breakdown in Graphene
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Shortcut to adiabatic passage in two and three level atoms
- Shortcuts to adiabaticity by counter-diabatic driving
- Exact factorization of the time-dependent electron-nuclear wavefunction
- High-fidelity quantum driving
- Optimally robust shortcuts to population inversion in two-level quantum systems
- Boson Sampling for Molecular Vibronic Spectra
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
- Coupled quantized mechanical oscillators
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
- Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom
- Fast atomic transport without vibrational heating
- Fast-forward of adiabatic dynamics in quantum mechanics
- Experimental implementation of assisted quantum adiabatic passage in a single spin
- Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
- Shortcut to adiabaticity for an interacting Bose-Einstein condensate
- Fast optimal transition between two equilibrium states
- Trapped-ion antennae for the transmission of quantum information
- Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
- Time-reversible Born-Oppenheimer molecular dynamics
- Adiabatic tracking of quantum many-body dynamics
- Shortcuts to adiabaticity in a time-dependent box
- Is the molecular Berry phase an artifact of the Born-Oppenheimer approximation?
- Transitionless quantum driving for spin systems
- Superadiabatic quantum friction suppression in finite-time thermodynamics
- Scrutinizing the double superconducting gaps and strong coupling pairing in (Li1-xFexOH)FeSe
- Quantum simulation of molecular spectroscopy in trapped-ion device
- High-fidelity rapid ground-state loading of an ultracold gas into an optical lattice
- Shortcuts to adiabaticity using flow fields
- Fast-Forward Assisted STIRAP
- Coupled harmonic oscillators and their quantum entanglement
- Non-equilibrium scale invariance and shortcuts to adiabaticity in a one-dimensional Bose gas
- Vibronic Boson Sampling: Generalized Gaussian Boson Sampling for Molecular Vibronic Spectra at Finite Temperature
- Shortcuts to adiabaticity for quantum annealing
- Fast forward to the classical adiabatic invariant
- Counterdiabatic driving of the quantum Ising model
- Shortcuts to adiabaticity in the strongly-coupled regime: nonadiabatic control of a unitary Fermi gas
- Optimized sympathetic cooling of atomic mixtures via fast adiabatic strategies
- Controlling quantum critical dynamics of isolated systems
- From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
- On the inclusion of the diagonal Born-Oppenheimer correction in surface hopping methods
- Squeezing and robustness of frictionless cooling strategies
- Analysis of the Time Reversible Born-Oppenheimer Molecular Dynamics
- Local shortcut to adiabaticity for quantum many-body systems
- Ehrenfest Dynamics and Frictionless Cooling Methods
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- Superadiabatic thermalization of a quantum oscillator by engineered dephasing
- Shortcuts to adiabaticity in Fermi gases
- Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators
- Counterdiabatic route for preparation of state with long-range topological order
- Counterdiabatic Formalism of Shortcuts to Adiabaticity
- Magnetic Field Effect on Dynamics of Entanglement for Time-dependent Harmonic Oscillator
- Shortcut-to-adiabaticity for coupled harmonic oscillators
- Weak-valued correlation functions: Insights and precise readout strategies