Projekte pro Jahr
Abstract
The advancement of quantum simulators motivates the development of a theoretical framework to assist with efficient state preparation in quantum many-body systems. Generally, preparing a target entangled state via unitary evolution with time-dependent couplings is a challenging task and very little is known about the existence of solutions and their properties. In this work we develop a constructive approach for preparing matrix product states (MPS) via continuous unitary evolution. We provide an explicit construction of the operator that exactly implements the evolution of a given MPS along a specified direction in its tangent space. This operator can be written as a sum of local terms of finite range, yet it is in general non-Hermitian. Relying on the explicit construction of the non-Hermitian generator of the dynamics, we demonstrate the existence of a Hermitian sequence of operators that implements the desired MPS evolution with an error that decreases exponentially with the operator range. The construction is benchmarked on an explicit periodic trajectory in a translationally invariant MPS manifold. We demonstrate that the Floquet unitary generating the dynamics over one period of the trajectory features an approximate MPS-like eigenstate embedded among a sea of thermalizing eigenstates. These results show that our construction is not only useful for state preparation and control of many-body systems, but also provides a generic route towards Floquet scars—periodically driven models with quasilocal generators of dynamics that have exact MPS eigenstates in their spectrum.
Originalsprache | Englisch |
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Seiten (von - bis) | 040311 |
Seitenumfang | 18 |
Fachzeitschrift | PRX Quantum |
Jahrgang | 5 |
Ausgabenummer | 4 |
DOIs | |
Publikationsstatus | Veröffentlicht - Okt. 2024 |
ÖFOS 2012
- 103025 Quantenmechanik
- 103024 Quantenfeldtheorie
Projekte
- 4 Laufend
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quantA: Quantum Science Austria
Aspelmeyer, M., Arndt, M., Brukner, C., Schuch, N., Walther, P. & Nunnenkamp, A.
1/10/23 → 30/09/28
Projekt: Forschungsförderung
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