Time evolution of the local density of states of strongly correlated fermions coupled to a nanoprobe
arXiv:2407.15609 · doi:10.1103/PhysRevB.111.035152
Abstract
We study the time evolution of a one-dimensional system of strongly correlated electrons (a 'sample') that is suddenly coupled to a smaller, initially empty system (a 'nanoprobe'), which can subsequently move along the system. Our purpose here is to study the role of interactions in this model system when it is far from equilibrium. We therefore take both the sample and the nanoprobe to be described by a Hubbard model with on-site repulsive interactions and nearest-neighbor hopping. We compute the behavior of the local particle density and the local density of states (LDOS) as a function of time using time-dependent matrix product states at quarter and at half filling, fillings at which the chain realizes a Luttinger liquid or a Mott insulator, respectively. This allows us to study in detail the oscillation of the particles between the sample and the nanoprobe. While, for noninteracting systems, the LDOS is time-independent, in the presence of interactions, the backflow of electrons to the sample will lead to nontrivial dynamics in the LDOS. In particular, studying the time-dependent LDOS allows us to study how the Mott gap closes locally and how this melting of the Mott insulator propagates through the system in time after such a local perturbation -- a behavior that we envisage can be investigated in future experiments on ultrashort time scales or on optical lattices using microscopy setups.
References in corpus (15)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Nonthermal pathways to ultrafast control in quantum materials
- From density-matrix renormalization group to matrix product states
- Finite-temperature transport in one-dimensional quantum lattice models
- Time-evolving a matrix product state with long-ranged interactions
- Minimally Entangled Typical Thermal State Algorithms
- Theoretical description of time-resolved photoemission spectroscopy: application to pump-probe experiments
- Time- and Angle-Resolved Photoemission Studies of Quantum Materials
- Dynamics of photoinduced Charge Density Wave-metal phase transition in K0.3MoO3
- Buildup and dephasing of Floquet-Bloch bands on subcycle time scales
- A light induced metastable magnetic texture uncovered by in-situ Lorentz microscopy
- In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator