Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quasi-adiabatic preparation of ordered many-body states of Rydberg excitations of atoms in a lattice via steering the system through an extended gapless phase.

Andreas F. Tzortzakakis, David Petrosyan, Michael Fleischhauer, Klaus Mølmer

Published Nov 29, 2021• 0 citations
OpenAlex

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 antiferromagnetic-like 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 find that, in the basis of the bare atomic states, the system climbs the ladder of Rydberg excitations predominantly along the strongest-amplitude paths towards the final ordered state. 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.

Related papers

Microscopic dynamics and an effective Landau-Zener transition in the quasiadiabatic preparation of spatially ordered states of Rydberg excitations

Andreas F. Tzortzakakis, David Petrosyan, Michael Fleischhauer +1 more

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.

arXiv:2111.14553•Physical Review A•Dec 8, 2022•3 citations

On the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in a one-dimensional optical lattice by laser frequency sweeps

David Petrosyan, Klaus Mølmer, Michael Fleischhauer

Abstract We examine the adiabatic preparation of crystalline phases of Rydberg excitations in a one-dimensional lattice gas by frequency sweep of the excitation laser, as proposed by Pohl et al (2010 Phys. Rev. Lett. 104 043002 ) and recently realized experimentally by Schauß et al (2015 Science 347 1455 ). We find that the preparation of crystals of a few Rydberg excitations in a unitary system of several tens of atoms requires exceedingly long times for the adiabatic following of the ground state of the system Hamiltonian. Using quantum stochastic (Monte Carlo) wavefunction simulations, we show that realistic decay and dephasing processes affecting the atoms during the preparation lead to a final state of the system that has only a small overlap with the target crystalline state. Yet, the final number and highly sub-Poissonian statistics of Rydberg excitations and their spatial order are little affected by the relaxations.

arXiv:1511.09214•Journal of Physics B Atomic Molecular and Optical Physics•Apr 5, 2016•11 citations

Adiabatic preparation of many-body quantum states: getting the beginning and ending right

Emil T. M. Pedersen, Freek Witteveen, Klaus Mølmer +1 more

We present numerical calculations, and simulations performed on a Rydberg atom quantum simulator, of the adiabatic evolution of many-body quantum systems around a quantum phase transition. We demonstrate that the end-to-end transfer error, for a given process duration and dissipative losses, can be suppressed by adopting smooth initial and final scheduling functions for the Hamiltonian. We consider a one-dimensional mixed-field Ising model, as well as a chain of Rydberg atoms, and compare numerical calculations and experimental results for the end-to-end transfer error with different schedule functions. We show, in particular, that if the time dependent Hamiltonian is $n$ times differentiable with vanishing $1^{st}$ to $n^{th}$ order derivatives in the beginning and in the end, the infidelity with respect to the final adiabatic eigenstate scales as $1/T^{n+1}$ when evolving for time $T$.

quant-pharXiv:2512.17780•Dec 22, 2025•0 citations

Rapid passage to ordered states in Rydberg-atom arrays

Liang Zeng, Fei Zhu, Li Chen +1 more

Given a finite lifetime, a ubiquitous challenge in quantum systems is how to prepare a target state in the shortest possible time. This issue is particularly relevant for Rydberg-atom arrays in optical tweezers, where the dephasing time is typically restricted to a few microseconds. In this work, we develop a rapid passage to ordered many-body states in a Rydberg-atomic chain, which allows the transition of the system to various ordered phases in the phase diagram, such as the ${\mathrm{Z}}_{2}$-, ${\mathrm{Z}}_{3}$-, and ${\mathrm{Z}}_{4}$-ordered antiferromagnetic states. Our scheme ramps the parameter in a ``nonadiabatic to quasi-adiabatic to nonadiabatic (NQN)'' manner. The NQN configuration significantly reduces the time cost required for the state preparation using entirely adiabatic methods and is generally applicable to a sizable number of atoms. Moreover, we experimentally validate the NQN scheme on the neutral-atom quantum cloud computer Aquila.

arXiv:2504.19214•Physical Review A•Oct 9, 2025•0 citations

Chirped multiphoton adiabatic passage for a four-level ladder-type Rydberg excitation

Jing Qian, Jingjing Zhai, Lu Zhang +1 more

We develop a multiphoton adiabatic passage to realize a highly efficient Rydberg excitation in a four-level ladder-type atomic system. The adiabatic passage is based on the existence of a novel quasidark state in the cascade excitation system where the frequencies of the lasers are appropriately chirped with time. We also investigate the influence of the interatomic Rydberg interaction on the passage and extend its application to the preparation of antiblockade Rydberg atom pairs in the Rydberg blockade regime.

arXiv:1501.01351•Physical Review A•Jan 23, 2015•6 citations

Adiabatic Preparation of Many-Body Quantum States: Getting the Beginning and the End Right

Anonymous, Freek Witteveen, Klaus Mølmer +1 more

We present numerical calculations, and simulations performed on a Rydberg atom quantum simulator, of the adiabatic evolution of closed many-body quantum systems around a quantum phase transition. We demonstrate that the end-to-end transfer error, for a given process duration, can be suppressed by adopting smooth initial and final scheduling functions for the Hamiltonian. We consider a one-dimensional mixed-field Ising model, as well as a chain of Rydberg atoms, and compare numerical calculations and results on a commercially available quantum computer for the end-to-end transfer error with different schedule functions. We provide a new rigorous proof under minimal regularity assumptions of the known result that if the time dependent Hamiltonian is n times differentiable with vanishing first to n th order derivatives in the beginning and in the end, the infidelity with respect to the final adiabatic eigenstate scales as 1/T^{n+1} when evolving for time T.

Physical Review Letters•Sep 2, 2026•0 citations
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 antiferromagnetic-like 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 find that, in the basis of the bare atomic states, the system climbs the ladder of Rydberg excitations predominantly along the strongest-amplitude paths towards the final ordered state. 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.
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.
Abstract We examine the adiabatic preparation of crystalline phases of Rydberg excitations in a one-dimensional lattice gas by frequency sweep of the excitation laser, as proposed by Pohl et al (2010 Phys. Rev. Lett. 104 043002 ) and recently realized experimentally by Schauß et al (2015 Science 347 1455 ). We find that the preparation of crystals of a few Rydberg excitations in a unitary system of several tens of atoms requires exceedingly long times for the adiabatic following of the ground state of the system Hamiltonian. Using quantum stochastic (Monte Carlo) wavefunction simulations, we show that realistic decay and dephasing processes affecting the atoms during the preparation lead to a final state of the system that has only a small overlap with the target crystalline state. Yet, the final number and highly sub-Poissonian statistics of Rydberg excitations and their spatial order are little affected by the relaxations.
We present numerical calculations, and simulations performed on a Rydberg atom quantum simulator, of the adiabatic evolution of many-body quantum systems around a quantum phase transition. We demonstrate that the end-to-end transfer error, for a given process duration and dissipative losses, can be suppressed by adopting smooth initial and final scheduling functions for the Hamiltonian. We consider a one-dimensional mixed-field Ising model, as well as a chain of Rydberg atoms, and compare numerical calculations and experimental results for the end-to-end transfer error with different schedule functions. We show, in particular, that if the time dependent Hamiltonian is nnn times differentiable with vanishing 1st1^{st}1st to nthn^{th}nth order derivatives in the beginning and in the end, the infidelity with respect to the final adiabatic eigenstate scales as 1/Tn+11/T^{n+1}1/Tn+1 when evolving for time TTT.
Given a finite lifetime, a ubiquitous challenge in quantum systems is how to prepare a target state in the shortest possible time. This issue is particularly relevant for Rydberg-atom arrays in optical tweezers, where the dephasing time is typically restricted to a few microseconds. In this work, we develop a rapid passage to ordered many-body states in a Rydberg-atomic chain, which allows the transition of the system to various ordered phases in the phase diagram, such as the Z2{\mathrm{Z}}_{2}Z2​-, Z3{\mathrm{Z}}_{3}Z3​-, and Z4{\mathrm{Z}}_{4}Z4​-ordered antiferromagnetic states. Our scheme ramps the parameter in a ``nonadiabatic to quasi-adiabatic to nonadiabatic (NQN)'' manner. The NQN configuration significantly reduces the time cost required for the state preparation using entirely adiabatic methods and is generally applicable to a sizable number of atoms. Moreover, we experimentally validate the NQN scheme on the neutral-atom quantum cloud computer Aquila.
We develop a multiphoton adiabatic passage to realize a highly efficient Rydberg excitation in a four-level ladder-type atomic system. The adiabatic passage is based on the existence of a novel quasidark state in the cascade excitation system where the frequencies of the lasers are appropriately chirped with time. We also investigate the influence of the interatomic Rydberg interaction on the passage and extend its application to the preparation of antiblockade Rydberg atom pairs in the Rydberg blockade regime.
We present numerical calculations, and simulations performed on a Rydberg atom quantum simulator, of the adiabatic evolution of closed many-body quantum systems around a quantum phase transition. We demonstrate that the end-to-end transfer error, for a given process duration, can be suppressed by adopting smooth initial and final scheduling functions for the Hamiltonian. We consider a one-dimensional mixed-field Ising model, as well as a chain of Rydberg atoms, and compare numerical calculations and results on a commercially available quantum computer for the end-to-end transfer error with different schedule functions. We provide a new rigorous proof under minimal regularity assumptions of the known result that if the time dependent Hamiltonian is n times differentiable with vanishing first to n th order derivatives in the beginning and in the end, the infidelity with respect to the final adiabatic eigenstate scales as 1/T^{n+1} when evolving for time T.