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

Quantum Simulation of Lieb-Liniger Interaction via Stationary Light Polaritons

U-Shin Kim, Yoon-Ho Kim

Published Jan 1, 2026• 0 citations
Publisher

Abstract

We propose a tunable quantum simulation of the Lieb-Liniger model using 1D self-interacting stationary light polaritons, revealing controllable interaction regimes and photon correlations for exploring many-body dynamics and advancing quantum information processing.
DOI
10.1364/cleo_at.2026.jw1.115

Related papers

Simulating one-dimensional systems with stationary Rydberg dark polaritons

Hudson Pimenta Silveira, Aaron Z. Goldberg, Josiah Sinclair +1 more

Electromagnetically-induced transparency (EIT) with Rydberg atoms enables strong interactions between atoms to be controlled and measured by pulses of light. Consequently, Rydberg dark polaritons are a promising platform for quantum simulations. Of particular interest are simulations of one-dimensional systems, known to exhibit unique properties compared to their higher-dimensional counterparts. One limitation of standard EIT is that reducing the polariton group velocity to bring the dark polaritons to rest also implies activating strong Rydberg interactions. To achieve independent control of polariton speed and interaction strength, we propose a stationary light-scheme to bring Rydberg polaritons to a stand-still. This allows them to remain primarily photonic and, therefore, non-interacting, before Rydberg interactions are turned on. Once activated, in the dilute regime and in the presence of strong transverse confinement, the strong polarizabilities of Rydberg atoms give rise to an effective contact interaction between polaritons. By tuning the various parameters of the stationary-light scheme, the effective one-dimensional scattering length may be adjusted to yield various kinds of physics, including the regime of a Tonks-Girardeau gas, when polaritons exhibit fermionic behavior. We outline a protocol to observe the resulting spatial correlations between neighboring polaritons.

arXiv:1803.07565•Mar 20, 2018•0 citations

Quantum simulation of Cooper pairing with photons

Ming-Xia Huo, Changsuk Noh, B. M. Rodríguez-Lara +1 more

We propose a scheme to observe the crossover from weakly to strongly bound pairs with stationary polaritons. We first show how stationary light-matter excitations (polaritons) can realize an optically tunable two-component Bose-Hubbard model with repulsive intraspecies interactions and attractive interspecies interactions. We then discuss the feasibility of generating an effective Fermi-Hubbard model of polaritons exhibiting the crossover behavior. The predicted behavior of the system characterized by a crossover from short- to long-range spatial correlations as interactions are tuned can be efficiently observed by measuring correlation functions on the light exiting the waveguide.

arXiv:1106.4936•Physical Review A•Oct 31, 2012•9 citations

Simulating one-dimensional physics with stationary dark polaritons

Hudson Pimenta Silveira

In recent years, the development of various platforms for quantum simulation made it possible to study many-body systems under controlled conditions. Of particular interest are one-dimensional systems, known to exhibit some unique properties compared to their higher-dimensional counterparts. One of the current promising platforms for simulations of one-dimensional systems are Rydberg dark polaritons, quasiparticles of a photon-matter hybrid character emerging in the context of electromagnetically induced transparency (EIT) coupled with Rydberg atoms. These polaritons are long-lived (owing to the properties of EIT) and inherit interaction properties from the huge polarizability of Rydberg atoms, both attractive features in the context of simulations. We herein construct an experimental proposal for realizing one-dimensional physics through Rydberg dark polaritons. By using a stationary-light scheme, a sequence of steps allows a laser pulse incident on a transversally trapped gas of Rydberg atoms to yield a stationary pulse of weakly interacting polaritons. Within the stationarity regime, the lasers are further tuned to adjust the interaction effective one-dimensional scattering length through a Feshbach-like resonance to create a Tonks-Girardeau-type gas of polaritons. Signatures of non-trivial correlations can then experimentally probed by retrieving the photons through a subsequent adjustment of the laser strengths. Realizing this proposal would be a landmark achievement in the fields of many-body simulations and Rydberg physics.

•Nov 1, 2018•0 citations

Coherent Photon Manipulation in Interacting Atomic Ensembles

Callum R. Murray, Thomas Pohl

The quantum information processing techniques of the future may rely on photon-photon interactions, which researchers now theoretically demonstrate are possible using polaritons, a type of quasiparticle.

arXiv:1702.03763•Physical Review X•Jul 13, 2017•30 citations

Lieb–Liniger interaction via self-interacting stationary light polaritons

U-Shin Kim, Yoon-Ho Kim

Abstract We propose the optical simulation of the Lieb–Liniger interaction using one-dimensional (1D) stationary light polaritons (SLPs) with nonlinear self-interaction. Our analysis reveals that the dark-state polariton (DSP) mode of the self-interacting SLP satisfies a Schrödinger-like equation exhibiting the Lieb–Liniger interaction, where both the effective mass and interaction strength can be tuned optically. We demonstrate the transition of the Lieb–Liniger interaction from a repulsion-dominant regime to a thermalization-dominant regime using experimentally achievable parameters. This results in the second-order correlation of the DSP mode spanning from anti-bunching to bunching statistics. By advancing the quantum simulation of the Lieb–Liniger model, our work opens new avenues for exploring complex Lieb–Liniger physics, such as interaction quenching and multi-particle bound states. Moreover, it lays the groundwork for developing novel single-photon sources operating in the anti-bunching regime, featuring narrow bandwidth, directional emission, and built-in quantum memory functionality.

npj Quantum Information•Jun 4, 2026•0 citations

Quantum simulations of light-matter interactions in arbitrary coupling regimes

L. Lamata

Abstract Light-matter interactions are an established field that is experiencing a renaissance in recent years due to the introduction of exotic coupling regimes. These include the ultrastrong and deep-strong coupling regimes, where the coupling constant is smaller and of the order of the frequency of the light mode, or larger than this frequency, respectively. In the past few years, quantum simulations of light-matter interactions in all possible coupling regimes have been proposed and experimentally realized, in quantum platforms such as trapped ions, superconducting circuits, cold atoms, and quantum photonics. We review this fledgling field, illustrating the benefits and challenges of the quantum simulations of light-matter interactions with quantum technologies.

arXiv:2011.06836•Europhysics Letters (EPL)•Oct 1, 2020•2 citations
Electromagnetically-induced transparency (EIT) with Rydberg atoms enables strong interactions between atoms to be controlled and measured by pulses of light. Consequently, Rydberg dark polaritons are a promising platform for quantum simulations. Of particular interest are simulations of one-dimensional systems, known to exhibit unique properties compared to their higher-dimensional counterparts. One limitation of standard EIT is that reducing the polariton group velocity to bring the dark polaritons to rest also implies activating strong Rydberg interactions. To achieve independent control of polariton speed and interaction strength, we propose a stationary light-scheme to bring Rydberg polaritons to a stand-still. This allows them to remain primarily photonic and, therefore, non-interacting, before Rydberg interactions are turned on. Once activated, in the dilute regime and in the presence of strong transverse confinement, the strong polarizabilities of Rydberg atoms give rise to an effective contact interaction between polaritons. By tuning the various parameters of the stationary-light scheme, the effective one-dimensional scattering length may be adjusted to yield various kinds of physics, including the regime of a Tonks-Girardeau gas, when polaritons exhibit fermionic behavior. We outline a protocol to observe the resulting spatial correlations between neighboring polaritons.
We propose a scheme to observe the crossover from weakly to strongly bound pairs with stationary polaritons. We first show how stationary light-matter excitations (polaritons) can realize an optically tunable two-component Bose-Hubbard model with repulsive intraspecies interactions and attractive interspecies interactions. We then discuss the feasibility of generating an effective Fermi-Hubbard model of polaritons exhibiting the crossover behavior. The predicted behavior of the system characterized by a crossover from short- to long-range spatial correlations as interactions are tuned can be efficiently observed by measuring correlation functions on the light exiting the waveguide.
In recent years, the development of various platforms for quantum simulation made it possible to study many-body systems under controlled conditions. Of particular interest are one-dimensional systems, known to exhibit some unique properties compared to their higher-dimensional counterparts. One of the current promising platforms for simulations of one-dimensional systems are Rydberg dark polaritons, quasiparticles of a photon-matter hybrid character emerging in the context of electromagnetically induced transparency (EIT) coupled with Rydberg atoms. These polaritons are long-lived (owing to the properties of EIT) and inherit interaction properties from the huge polarizability of Rydberg atoms, both attractive features in the context of simulations. We herein construct an experimental proposal for realizing one-dimensional physics through Rydberg dark polaritons. By using a stationary-light scheme, a sequence of steps allows a laser pulse incident on a transversally trapped gas of Rydberg atoms to yield a stationary pulse of weakly interacting polaritons. Within the stationarity regime, the lasers are further tuned to adjust the interaction effective one-dimensional scattering length through a Feshbach-like resonance to create a Tonks-Girardeau-type gas of polaritons. Signatures of non-trivial correlations can then experimentally probed by retrieving the photons through a subsequent adjustment of the laser strengths. Realizing this proposal would be a landmark achievement in the fields of many-body simulations and Rydberg physics.
Abstract We propose the optical simulation of the Lieb–Liniger interaction using one-dimensional (1D) stationary light polaritons (SLPs) with nonlinear self-interaction. Our analysis reveals that the dark-state polariton (DSP) mode of the self-interacting SLP satisfies a Schrödinger-like equation exhibiting the Lieb–Liniger interaction, where both the effective mass and interaction strength can be tuned optically. We demonstrate the transition of the Lieb–Liniger interaction from a repulsion-dominant regime to a thermalization-dominant regime using experimentally achievable parameters. This results in the second-order correlation of the DSP mode spanning from anti-bunching to bunching statistics. By advancing the quantum simulation of the Lieb–Liniger model, our work opens new avenues for exploring complex Lieb–Liniger physics, such as interaction quenching and multi-particle bound states. Moreover, it lays the groundwork for developing novel single-photon sources operating in the anti-bunching regime, featuring narrow bandwidth, directional emission, and built-in quantum memory functionality.
Abstract Light-matter interactions are an established field that is experiencing a renaissance in recent years due to the introduction of exotic coupling regimes. These include the ultrastrong and deep-strong coupling regimes, where the coupling constant is smaller and of the order of the frequency of the light mode, or larger than this frequency, respectively. In the past few years, quantum simulations of light-matter interactions in all possible coupling regimes have been proposed and experimentally realized, in quantum platforms such as trapped ions, superconducting circuits, cold atoms, and quantum photonics. We review this fledgling field, illustrating the benefits and challenges of the quantum simulations of light-matter interactions with quantum technologies.