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The bosonic skin effect: boundary condensation in asymmetric transport
by Louis Garbe, Yuri Minoguchi, Julian Huber, Peter Rabl
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Louis Garbe |
| Submission information | |
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| Preprint Link: | scipost_202305_00031v2 (pdf) |
| Date accepted: | 2023-11-29 |
| Date submitted: | 2023-11-14 13:25 |
| Submitted by: | Garbe, Louis |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study the incoherent transport of bosonic particles through a one dimensional lattice with different left and right hopping rates, as modelled by the asymmetric simple inclusion process (ASIP). Specifically, we show that as the current passing through this system increases, a transition occurs, which is signified by the appearance of a characteristic zigzag pattern in the stationary density profile near the boundary. In this highly unusual transport phase, the local particle distribution alternates on every site between a thermal distribution and a Bose-condensed state with broken U(1) symmetry. Furthermore, we show that the onset of this phase is closely related to the so-called non-Hermitian skin effect and coincides with an exceptional point in the spectrum of density fluctuations. Therefore, this effect establishes a direct connection between quantum transport, non-equilibrium condensation phenomena and non-Hermitian topology, which can be probed in cold-atom experiments or in systems with long-lived photonic, polaritonic and plasmonic excitations.
Author comments upon resubmission
We also thank them for their suggested changes, which helped us improve the readability of our paper. We implemented all of them in the resubmitted version (see list of changes below), except for Referee 2's suggestion of replacing \Gamma_A/\Gamma_l by \Gamma_A/\Gamma_S in Fig.2 and related discussions; we decided to keep our original convention because it gives many of the expressions (in particular Eq.26) a more transparent form.
With these changes, we hope our work is now suitable for publication in SciPost Physics.
List of changes
Paragraph added in Section 2.1 to clarify the use of an incoherent master equation; change of references formatting; reference to the definition of g(\tau) added in the caption of Fig.4; removal of unneeded indentations and minor typographic corrections throughout.
Published as SciPost Phys. 16, 029 (2024)