Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy

Abstract

Lattice modulation spectroscopy is a powerful tool for probing low-energy excitations of interacting many-body systems. By means of bosonization we analyze the absorbed power in a one dimensional interacting quantum gas of bosons or fermions, subjected to a periodic drive of the optical lattice. For these Tomonaga Luttinger liquids we find a universal ${\omega }^3$ scaling of the absorbed power, that at very low-frequency turns into an ${\omega }^2$ scaling when scattering processes at the boundary of the system are taken into account. We confirm this behavior numerically by simulations based on time-dependent matrix product states. Furthermore, in the presence of impurities, the theory predicts an ${\omega }^2$ bulk scaling. While typical response functions of Tomonaga Luttinger liquids are characterized by exponents that depend on the interaction strength, modulation spectroscopy of cold atoms leads to a universal power-law exponent of the absorbed power. Our findings can be readily demonstrated in ultracold atoms in optical lattices with current experimental technology.

RevTeX 4-1, 17 pages, 4 PDF figures (v2) Plots of Luttinger liquid parameter and prefactor in absorbed power

References in corpus (14)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Electrodynamics of Correlated Electron Materials
• Bosonizing one-dimensional cold atomic gases
• Amplitude / Higgs Modes in Condensed Matter Physics
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
• Spectroscopy of ultracold atoms by periodic lattice modulations
• Floquet prethermalization in a Bose-Hubbard system
• Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices

Cited by in corpus (10)

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• Marginal quenches and drives in Tomonaga-Luttinger liquids
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Quench Spectroscopy of a Disordered Quantum System
• Dynamic renormalization group theory for open Floquet systems
• Cat states in a driven superfluid: role of signal shape and switching protocol
• Electron-electron interactions in partially mixed helical states
• Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
• Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics