Microscopic dynamics and an effective Landau-Zener transition in the quasiadiabatic preparation of spatially ordered states of Rydberg excitations
Tzortzakakis AF, Petrosyan D, Fleischhauer M, Molmer K (2022)
Publication Type: Journal article
Publication year: 2022
Journal
Book Volume: 106
Article Number: 063302
Journal Issue: 6
DOI: 10.1103/PhysRevA.106.063302
Abstract
We examine the adiabatic preparation of spatially ordered Rydberg excitations of atoms in finite one-dimensional lattices by frequency-chirped laser pulses, as realized in a number of recent experiments simulating quantum Ising model. Our aims are to unravel the microscopic mechanism of the phase transition from the unexcited state of atoms to the antiferromagneticlike state of Rydberg excitations by traversing an extended gapless phase and to estimate the preparation fidelity of the target state in a moderately sized system amenable to detailed numerical analysis. We show that, despite its complexity, the interacting many-body system can be described as an effective two-level system involving a pair of lowest-energy instantaneous collective eigenstates of the time-dependent Hamiltonian. The final preparation fidelity of the target state can then be well approximated by the Landau-Zener formula, while the nonadiabatic population leakage during the passage can be estimated using a perturbative approach applied to the instantaneous collective eigenstates.
Involved external institutions
Foundation for Research and Technology-Hellas (FORTH) / Ίδρυμα Τεχνολογίας και Έρευνας
Greece (GR)
Technische Universität Kaiserslautern
Germany (DE)
Aarhus University
Denmark (DK)
Greece (GR)
Technische Universität Kaiserslautern
Germany (DE)
Aarhus University
Denmark (DK)
How to cite
APA:
Tzortzakakis, A.F., Petrosyan, D., Fleischhauer, M., & Molmer, K. (2022). Microscopic dynamics and an effective Landau-Zener transition in the quasiadiabatic preparation of spatially ordered states of Rydberg excitations. Physical Review A, 106(6). https://dx.doi.org/10.1103/PhysRevA.106.063302
MLA:
Tzortzakakis, Andreas F., et al. "Microscopic dynamics and an effective Landau-Zener transition in the quasiadiabatic preparation of spatially ordered states of Rydberg excitations." Physical Review A 106.6 (2022).
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