Local wave-packet spectroscopy of the Drude weight in Tomonaga-Luttinger liquids
Abstract
We investigate wave packets generated by a local pulse electric field in a Tomonaga-Luttinger liquid (TLL) with a U(1) charge q. Bosonization shows that a local pulse field creates two counterpropagating packets with opposite accumulated charges ± qK and velocity v, where K and v are the TLL parameter and velocity. The packet motion produces a linearly growing charge polarization P(t)=2 qDt in the conducting TLL at non-equilibrium, allowing the Drude weight D=vK to be extracted from real-time local dynamics. We test this local-packet description by time-dependent variational principle simulations of the spin-1/2 XXZ chain. The simulations visualize the density, current, energy, and entanglement profiles in the space-time plane and confirm the predicted packet charge and propagation velocity. We also show that excess energy and entanglement remaining near the pulse region are suppressed in the weak-pulse limit. Finally, the Drude weight obtained from the packet-induced polarization agrees with the exact Bethe-ansatz result, demonstrating local-packet spectroscopy of intrinsic transport in a TLL.
Related
- Universal statistics of measurement-induced entanglement in Tomonaga-Luttinger liquids
- Single-Particle Spectroscopy and Cross-Barrier Dynamics in Inhomogeneous Luttinger Liquids via Unified Field Bosonization Technique
- Magnetic-Field-Induced Tomonaga-Luttinger Liquid and Bose-Einstein Condensate Phases in an Organic S = 1 Haldane Chain
- Interacting Tomonaga-Lüttinger liquid with impurity for interaction constant K = 1/2: Thermopower investigation, entropy variation and heat capacity densities associated with thermoelectric particle transport
- Unified Field Bosonization Technique for strongly inhomogenous Luttinger Liquids
BibTeX
@misc{yokoyama2026local,
title = {{Local wave-packet spectroscopy of the Drude weight in Tomonaga-Luttinger liquids}},
author = {Takayuki Yokoyama and Yasuhiro Tada},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22257},
eprint = {2610.22257},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22257},
note = {CC0},
}
RIS
TY - UNPB
TI - Local wave-packet spectroscopy of the Drude weight in Tomonaga-Luttinger liquids
AU - Takayuki Yokoyama
AU - Yasuhiro Tada
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22257
UR - https://arxiv.org/abs/2610.22257
AB - We investigate wave packets generated by a local pulse electric field in a Tomonaga-Luttinger liquid (TLL) with a U(1) charge q. Bosonization shows that a local pulse field creates two counterpropagating packets with opposite accumulated charges ± qK and velocity v, where K and v are the TLL parameter and velocity. The packet motion produces a linearly growing charge polarization P(t)=2 qDt in the conducting TLL at non-equilibrium, allowing the Drude weight D=vK to be extracted from real-time local dynamics. We test this local-packet description by time-dependent variational principle simulations of the spin-1/2 XXZ chain. The simulations visualize the density, current, energy, and entanglement profiles in the space-time plane and confirm the predicted packet charge and propagation velocity. We also show that excess energy and entanglement remaining near the pulse region are suppressed in the weak-pulse limit. Finally, the Drude weight obtained from the packet-induced polarization agrees with the exact Bethe-ansatz result, demonstrating local-packet spectroscopy of intrinsic transport in a TLL.
ER -