TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.4.122
TI  - Emptiness instanton in quantum polytropic gas
PY  - 2025/04/09
UR  - https://scipost.org/SciPostPhys.18.4.122
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 4
SP  - 122
A1  - Abanov, Alexander G.
AU  - Gangardt, Dimitri
AB  - The emptiness formation problem is addressed for a one-dimensional quantum polytropic gas characterized by an arbitrary polytropic index $\gamma$, which defines the equation of state $P \sim \rho^\gamma$, where $P$ is the pressure and $\rho$ is the density. The problem involves determining the probability of the spontaneous formation of an empty interval in the ground state of the gas. In the limit of a macroscopically large interval, this probability is dominated by an instanton configuration. By solving the hydrodynamic equations in imaginary time, we derive the analytic form of the emptiness instanton. This solution is expressed as an integral representation analogous to those used for correlation functions in Conformal Field Theory. Prominent features of the spatiotemporal profile of the instanton are obtained directly from this representation.
ER  -

@Article{10.21468/SciPostPhys.18.4.122,
	title={{Emptiness instanton in quantum polytropic gas}},
	author={Alexander G. Abanov and Dimitri M. Gangardt},
	journal={SciPost Phys.},
	volume={18},
	pages={122},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.4.122},
	url={https://scipost.org/10.21468/SciPostPhys.18.4.122},
}