Quantum Simulators for One-dimensional systems with PHotons and Atoms – Quantum-SOPHA
Interacting many-body systems in low dimensions offer surprises and challenges for experimentalists and theorists. One-dimensional (1D) systems are unique in nature as the effect of interactions and correlations is enhanced since the particles cannot circumvent each other, making the study of arbitrary many-body system quantum dynamics an open challenge. This has not only fascinating perspectives for the understanding of long-time dynamics and thermalisation, but also has numerous applications to several fields, including quantum information, quantum state manipulation, quantum optics and mesoscopic physics. Importantly, the study of 1D systems is also the first step to benchmark quantum simulators before solving the higher-dimensional case.
Experimentally, 1D quantum systems are realised by trapping particles under a tight transverse confinement, such that the transverse energy scale is much larger than all the other energy scales in the problem (chemical potential, temperature, excitation frequency etc). Examples of 1D systems are found in a variety of physical platforms from nano-wires to organic polymers.
This project aims at building two analog quantum simulators of 1D interacting bosons (Lieb-Liniger hamiltonian), to study its quantum dynamics both close and far from equilibrium.
It relies on two complementary experimental platforms: ultracold atoms trapped on an atom chip and a quantum fluid of light in the propagating geometry.
Our project is build around the complementarity between the two experimental platforms and the synergy between the experimental and the theory groups.
Using both platforms we will address two fundamental questions relevant to out-of-equilibrium 1D quantum systems beyond mean-field: i) at small excitation amplitudes, we will study the excitation spectrum of the Lieb-Liniger system, focusing in particular on the Lieb-II excitation branch related to quantum solitons; ii) we will study strongly out-of equilibrium dynamics following quantum quenches in 1D.
This project will allow the study of isolated single 1D quantum gases, resulting in high precision measurement of their properties, circumventing the limitations of previous experimental realisations. One major strength of our project is to combine two quantum simulators with complementary properties and advantages. In particular the atomic platform will enable a direct implementation of the Lieb-Liniger Hamiltonian with hard wall boundary conditions, while the photonic platform will naturally provide periodic boundary conditions (ring trap).
Moreover, our atomic and photonic simulators allow for the measurement of the spatial correlations with complementary techniques and to study the dynamics following a quench of a parameter e.g. the interaction strength or a phase imprinting.
Developing in parallel both simulators will allow a systematic benchmark of their results even when the theoretical predictions have limited accuracy.
Madame Patrizia Vignolo (Institut de Physique de Nice)
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
LPM2C LABORATOIRE DE PHYSIQUE ET MODELISATION DES MILIEUX CONDENSES
INPHYNI Institut de Physique de Nice
LKB Laboratoire Kastler Brossel
LPL Laboratoire de Physique des Lasers
Help of the ANR 677,043 euros
Beginning and duration of the scientific project: September 2021 - 48 Months