Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids
arXiv:2104.07751 · doi:10.1088/1751-8121/ac39cc
Abstract
Tomonaga-Luttinger liquids (TLLs) can be used to effectively describe one-dimensional quantum many-body systems such as ultracold atoms, charges in nanowires, superconducting circuits, and gapless spin chains. Their properties are given by two parameters, the propagation velocity and the Luttinger parameter. Here we study inhomogeneous TLLs where these are promoted to functions of position and demonstrate that they profoundly affect the dynamics: In general, besides curving the light cone, we show that propagation is no longer ballistically localized to the light-cone trajectories, different from standard homogeneous TLLs. Specifically, if the Luttinger parameter depends on position, the dynamics features pronounced spreading into the light cone, which cannot be understood via a simple superposition of waves as in the Huygens-Fresnel principle. This is the case for ultracold atoms in a parabolic trap, which serves as our main motivation, and we discuss possible experimental observations in such systems.
arXiv comment23 pages, RevTeX, 10 figures; final published version
References in corpus (54)
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Collective excitations of a trapped Bose-condensed gas
- Experimental Observation of a Generalized Gibbs Ensemble
- Landauer Conductance of Luttinger Liquids with Leads
- The Luttinger model following a sudden interaction switch-on
- Transport in an inhomogeneous interacting one--dimensional system
- Bosonization for Beginners --- Refermionization for Experts
- Bosonizing one-dimensional cold atomic gases
- Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
- Is there a renormalization of the 1D conductance in Luttinger Liquid model?
- Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
- Extension of Bogoliubov theory to quasi-condensates
- Collective oscillations of a 1D trapped Bose gas
- Quantum quench dynamics of the Luttinger model
- Quantum quench dynamics of some exactly solvable models in one dimension
- On solving quantum many-body problems by experiment
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
- Quantum Generalized Hydrodynamics
- Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
- Full quantum distribution of contrast in interference experiments between interacting one dimensional Bose liquids
- Inhomogeneous field theory inside the arctic circle
- Recurrences in an isolated quantum many-body system
- Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
- Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
- Nonlinear Integral Equation and Finite Volume Spectrum of Sine-Gordon Theory
- Truncated Conformal Space at c=1, Nonlinear Integral Equation and Quantization Rules for Multi-Soliton States
- Information transmission without energy exchange
- Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
- Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
- Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size
- Designing Arbitrary One-dimensional Potentials on an Atom Chip
- Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
- Local relaxation and light-cone-like propagation of correlations in a trapped one-dimensional Bose gas
- Violation of the strong Huygen's principle and timelike signals from the early Universe
- Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model
- Geometric approach to inhomogeneous Floquet systems
- Finite-time universality in nonequilibrium CFT
- Inhomogeneous conformal field theory out of equilibrium
- Relative phase fluctuations of two coupled one-dimensional condensates
- The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
- Extracting the field theory description of a quantum many-body system from experimental data
- Decay and recurrence of non-Gaussian correlations in a quantum many-body system
- Quantum field thermal machines
- Diffusive Heat Waves in Random Conformal Field Theory
- Full counting statistics of Luttinger liquid conductor
- Entanglement entropies of inhomogeneous Luttinger liquids
- Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems
- On the Tail Problem in Cosmology
- Quantum read-out for cold atomic quantum simulators
- Josephson oscillations in split one-dimensional Bose gases
- On the low-energy description for tunnel-coupled one-dimensional Bose gases
- Relaxation in an Extended Bosonic Josephson Junction
- Correlations and dynamics of tunnel-coupled one-dimensional Bose gases
- Construction by bosonization of a fermion-phonon model