Invariant-based control of quantum many-body systems across critical
points
- URL: http://arxiv.org/abs/2309.05469v1
- Date: Mon, 11 Sep 2023 14:09:37 GMT
- Title: Invariant-based control of quantum many-body systems across critical
points
- Authors: Hilario Espin\'os, Loris Maria Cangemi, Amikam Levy, Ricardo Puebla,
Erik Torrontegui
- Abstract summary: Quantum many-body systems are emerging as key elements in the quest for quantum-based technologies.
Control protocols that allow for fast and high fidelity evolutions across quantum phase transitions is of particular interest.
Here we design an invariant-based control technique that ensures perfect adiabatic-like evolution in the lowest energy subspace of the many-body system.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum many-body systems are emerging as key elements in the quest for
quantum-based technologies and in the study of fundamental physics. In this
context, finding control protocols that allow for fast and high fidelity
evolutions across quantum phase transitions is of particular interest. Ideally,
such controls should be scalable with the system size and not require
controllable and unwanted extra interactions. In addition, its performance
should be robust against potential imperfections. Here we design an
invariant-based control technique that ensures perfect adiabatic-like evolution
in the lowest energy subspace of the many-body system, and is able to meet all
these requirements -- tuning the controllable parameter according to the
analytical control results in high-fidelity evolutions operating close to the
speed limit, valid for any number particles. As such, Kibble-Zurek scaling laws
break down, leading to tunable and much better time scaling behavior. We
illustrate our findings by means of detailed numerical simulations in the
transverse-field Ising and long-range Kitaev models and demonstrate the
robustness against noisy controls and disorder.
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