Dissipative Spectroscopy

TL;DR

Dissipative spectroscopy provides a new framework for extracting spectral information from quantum systems through controlled dissipation, revealing critical modes and nonequilibrium dynamics.

Contribution

We develop a general dissipative response theory applicable to various environments and introduce protocols to access the dissipative spectrum in quantum systems.

Findings

Identifies two-particle soft modes near quantum critical points.

Predicts macroscopic order emergence after a dissipation quench.

Demonstrates utility of extended dissipative susceptibilities in fermionic models.

Abstract

We introduce dissipative spectroscopy as a framework for extracting spectral information from quantum systems via controlled dissipation. By establishing a general dissipative response theory applicable to both Markovian and non-Markovian environments, we develop a protocol to access the dissipative spectrum (DS) through driven oscillation-dissipation resonance. We show that the DS can identify two-particle soft modes near quantum critical points and, on the normal-phase side, predict the emergence of macroscopic order exhibiting power-law growth following a dissipation quench. These distinctive signatures appear in quasiparticle-dominant regimes, previously considered trivial. Furthermore, we introduce extended dissipative susceptibilities that capture leading memory effects and demonstrate their utility in a dissipative fermionic model. Our results indicate that the DS is readily accessible and offers a versatile tool for probing equilibrium properties as well as predicting nonequilibrium dissipative dynamics.