TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.5.108
TI  - Marginal quenches and drives in Tomonaga-Luttinger liquids
PY  - 2023/05/11
UR  - https://scipost.org/SciPostPhys.14.5.108
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 5
SP  - 108
A1  - Datta, Shouvik
AU  - Lapierre, Bastien
AU  - Moosavi, Per
AU  - Tiwari, Apoorv
AB  - We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactification radius of the free boson conformal field theory between two different values. We obtain exact analytical results for the evolution of the Loschmidt echo and observables such as the particle and energy densities. Starting from generic initial states, the quench dynamics are shown to exhibit revivals and temporal orthogonalities. For the periodic drive, we show stability or instability of time-evolved physical quantities dependent on the drive parameters. We also compare the corresponding marginally deformed thermal density matrices by non-perturbatively evaluating their Rényi divergence as a Euclidean quench. All the dynamics are shown to be crucially dependent on the ratio of the Luttinger parameters, which corresponds to the Zamolodchikov distance in the space of marginal deformations. Our setup is equivalently interpreted as the dynamics of the bosonic string upon instantaneous changes of the target-space radius.
ER  -

@Article{10.21468/SciPostPhys.14.5.108,
	title={{Marginal quenches and drives in Tomonaga-Luttinger liquids}},
	author={Shouvik Datta and Bastien Lapierre and Per Moosavi and Apoorv Tiwari},
	journal={SciPost Phys.},
	volume={14},
	pages={108},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.5.108},
	url={https://scipost.org/10.21468/SciPostPhys.14.5.108},
}