Title:	Heat Transport Through an Open Coupled Scalar Field Theory Hosting Stability-to-Instability Transition
Authors:	Vishnu, T.R. Roy, Dibyendu
Keywords:	Heat transport Coupled scalar field theory Stability-to-instability transition Quantum Langevin equations
Issue Date:	9-Oct-2024
Publisher:	Springer
Citation:	Journal of Statistical Physics, 2024, Vol. 191, p123
Abstract:	We investigate heat transport through a one-dimensional open coupled scalar field theory, depicted as a network of harmonic oscillators connected to thermal baths at the boundaries. The non-Hermitian dynamical matrix of the network undergoes a stability-to-instability tran- sition at the exceptional points as the coupling strength between the scalar fields increases. The open network in the unstable regime, marked by the emergence of inverted oscillator modes, does not acquire a steady state, and the heat conduction is then unbounded for gen- eral bath couplings. In this work, we engineer a unique bath coupling where a single bath is connected to two fields at each edge with the same strength. This configuration leads to a finite steady-state heat conduction in the network, even in the unstable regime. We also study general bath couplings, e.g., connecting two fields to two separate baths at each boundary, which shows an exciting signature of approaching the unstable regime for massive fields. We derive analytical expressions for high-temperature classical heat current through the network for different bath couplings at the edges and compare them. Furthermore, we determine the temperature dependence of low-temperature quantum heat current in different cases.
Description:	Open Access
URI:	http://hdl.handle.net/2289/8342
Alternative Location:	https://arxiv.org/abs/2402.04986 https://doi.org/10.1007/s10955-024-03341-5 https://ui.adsabs.harvard.edu/abs/2024arXiv240204986V/abstract https://inspirehep.net/literature/2756346
Copyright:	2024 The Author(s)
Appears in Collections:	Research Papers (TP)

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