Many-body Non-Hermitian Skin Effect At Finite Temperatures
- URL: http://arxiv.org/abs/2109.03690v5
- Date: Mon, 14 Aug 2023 10:22:33 GMT
- Title: Many-body Non-Hermitian Skin Effect At Finite Temperatures
- Authors: Kui Cao, Qian Du and Su-Peng Kou
- Abstract summary: We investigate the many-body non-Hermitian skin effect at finite temperatures in the thermodynamic limit.
For fermionic systems, the non-Hermitian skin effect disrupts the original phase, leading to a real-space Fermi surface.
For bosonic systems, it can direct bosons to condense in corners at a decay rate that surpasses exponential, even at high temperatures.
- Score: 7.838919138176002
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this study, we investigate the many-body non-Hermitian skin effect at
finite temperatures in the thermodynamic limit. Our findings indicate an
interesting correspondence between the non-Hermitian skin effect and a linear
electric potential effect in this case. This correspondence leads to a unique
distribution in non-Hermitian systems; particles in these many-body
non-Hermitian systems do not inhabit the energy eigenstates of their
single-body counterparts. As a result, the many-body non-Hermitian skin effect
is significantly different from the single-body non-Hermitian skin effect.
Specifically, for fermionic systems, the non-Hermitian skin effect disrupts the
original phase, leading to a real-space Fermi surface. For bosonic systems, it
can direct bosons to condense in corners at a decay rate that surpasses
exponential, even at high temperatures. It also triggers a remarkable phase
transition, resulting in spontaneous U(1) symmetry breaking. Uniquely, this
does not generate a Goldstone mode, presenting a deviation from traditional
expectations as per the Goldstone theorem.
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