We develop a theory of Coulomb drag in ultraclean double layers with strongly
correlated carriers. In the regime where the equilibration length of the
electron liquid is shorter than the interlayer spacing the main contribution to
the Coulomb drag arises from hydrodynamic density fluctuations. The latter
consist of plasmons driven by fluctuating longitudinal stresses, and diffusive
modes caused by temperature fluctuations and thermal expansion of the electron
liquid. We express the drag resistivity in terms of the kinetic coefficients of
the electron fluid. Our results are nonperturbative in interaction strength and
do not assume Fermi-liquid behavior of the electron liquid.Comment: 5 pages, 1 figur
We predict a novel nonlinear electromagnetic phenomenon in layered superconducting slabs irradiated from one side by an electromagnetic plane wave. We show that the reflectance and transmittance of the slab can vary over a wide range, from nearly zero to one, when changing the incident wave amplitude. Thus changing the amplitude of the incident wave can induce either the total transmission or reflection of the incident wave. In addition, the dependence of the superconductor transmittance on the incident wave amplitude has an unusual hysteretic behavior with jumps. This remarkable nonlinear effect (self-induced transparency) can be observed even at small amplitudes, when the wave frequency ω is close to the Josephson plasma frequency ωJ .
We investigate the time evolution towards the asymptotic steady state of a one dimensional interacting system after a quantum quench. We show that at finite times the latter induces entanglement between right-and left-moving density excitations, encoded in their cross-correlators, which vanishes in the long-time limit. This behavior results in a universal time-decay ∝ t −2 of the system spectral properties, in addition to non-universal power-law contributions typical of Luttinger liquids. Importantly, we argue that the presence of quench-induced entanglement clearly emerges in transport properties, such as charge and energy currents injected in the system from a biased probe, and determines their long-time dynamics. In particular, the energy fractionalization phenomenon turns out to be a promising platform to observe the universal power-law decay ∝ t −2 induced by entanglement and represents a novel way to study the corresponding relaxation mechanism.
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