Minimal action control method in quantum critical models
arXiv:2208.09271 · doi:10.1088/2399-6528/aca3fa
Abstract
We present a general protocol to control closed quantum systems that is based on minimising the adiabatic action. Using tools based on the geometry of quantum evolutions through the quantum adiabatic brachistochrone, we show that high fidelity control of the ground state of critical quantum systems can be achieved and requires only a reasonable approximation for the ground state spectral gap. We demonstrate our results for three widely applicable systems: the Landau-Zener, Ising, and fully connected spin models.
arXiv comment7 pages, 4 figures. Close to published version
References in corpus (38)
- A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
- Shortcuts to adiabaticity: concepts, methods, and applications
- Training Schrödinger's cat: quantum optimal control
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Shortcuts to adiabaticity
- Quantum Search by Local Adiabatic Evolution
- Optimal Control at the Quantum Speed Limit
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
- Thermodynamic metrics and optimal paths
- Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
- Driving at the quantum speed limit: Optimal control of a two-level system
- Quantum Adiabatic Brachistochrone
- Adiabatic tracking of quantum many-body dynamics
- Optimal non-linear passage through a quantum critical point
- Superadiabatic Controlled Evolutions and Universal Quantum Computation
- Spin quantum heat engines with shortcuts to adiabaticity
- Unitary quantum perceptron as efficient universal approximator
- Fast quasi-adiabatic dynamics
- Speeding up critical system dynamics through optimized evolution
- Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States
- Energy consumption for Shortcuts To Adiabaticity
- Action quantum speed limits
- Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
- Energetic cost of quantum control protocols
- Counterdiabatic driving of the quantum Ising model
- A many-body heat engine at criticality
- Kibble-Zurek scaling of the irreversible entropy production
- Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
- Quantum Control via Enhanced Shortcuts to Adiabaticity
- Testing quantum adiabaticity with quench echo
- Adiabatic theorem revisited: the unexpectedly good performance of adiabatic passage
- On the possibility of complete revivals after quantum quenches to a critical point
- Energy consumption for ion transport in a segmented Paul trap
- Fast and robust magnon transport in a spin chain
- Inertial Theorem: Overcoming the quantum adiabatic limit
- Quantum adiabatic brachistochrone for open systems
- Energetic advantages of non-adiabatic drives combined with non-thermal quantum states
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