Non-Hermitian skin effect in a one-dimensional interacting Bose gas

Mao, Liang; Hao, Yajiang; Pan, Lei

doi:10.1103/physreva.107.043315

Cited by 20 publications

(3 citation statements)

References 146 publications

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“…More precisely, it originates from the interplay between boundary dissipation and many-body interactions. On the other hand, compared to recent studies reporting on the many-body NHSE in exactly solvable models with non-Hermitian hopping terms in the bulk [57,58], in this article we highlight the non-perturbative effect of the boundary non-Hermiticity on the Hermitian spin chain. We derive an integral equation, dubbed the imaginary Fredholm equation, 1 to solve the scale-free localization length in the thermodynamic limit.…”

Section: Introductionmentioning

confidence: 82%

Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain

Wang,

Li,

Song

et al. 2023

SciPost Phys.

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We study the open XXZ spin chain with a PTPT-symmetric non-Hermitian boundary field. We find an interaction-induced scale-free non-Hermitian skin effect by using the coordinate Bethe Ansatz. The steady-state and the ground state in the PTPT broken phase are constructed, and the formulas of their eigen-energies in the thermodynamic limit are obtained. The differences between the many-body scale-free states and the boundary string states are explored, and the transition between the two at the isotropic point is investigated. We also discuss an experimental scheme to verify our results.

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Section: Introductionmentioning

confidence: 82%

Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain

Wang,

Li,

Song

et al. 2023

SciPost Phys.

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“…However, with the recent development of non-Hermitian physics, it has been found that not only the edge modes but all the bulk states can pile up at the edges of the systems as well, and such phenomenon is dubbed as noptn-Hermitian skin effects [22][23][24][25][26][27][28][29][30][31][32][33][34][35]. In these cases, the bulk boundary modes can be extremely sensitive to local perturbations and the conventional BBC can be broken [36,37].…”

Section: Introductionmentioning

confidence: 99%

Bulk-boundary correspondence in topological systems with the momentum dependent energy shift

Wang,

Yang,

Wu-Ming Liu

2024

Quantum Sci. Technol.

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Bulk-boundary correspondence (BBC) remains the central topic in modern condensed matter physics and has received a boost of interest with the recent discovery of non-Hermitian skin effects. However, there still exist profound features of BBC that are beyond the existing framework. Here, we report the unexpected behavior of BBC when the Hamiltonian contains terms of the form d0(k)I, which serves as a momentum dependent energy shift. For Hermitian cases, the momentum dependent energy shift can force the system to be metallic, where topological phase transitions can take place with the upper and the lower bands kept untouched. The modified BBC should be reconstructed from the perspective of the indirect band gap. In non-Hermitian cases, skin effects are found to be capable of coexisting with the preserved BBC, of which the process can be greatly facilitated by the complex d0(k)I. Remarkably, such results can be led to a further step, and contrary to the intuition, the modified BBC in Hermitian systems can be restored to be conventional by including extra non-Hermiticity. The physical origin for these phenomena lies in that d0(k)I can drastically change the point gap topology. Finally, the corresponding experimental simulations are proposed via the platforms of electric circuits.

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“…[34,37,[50][51][52][53] Non-Hermitian extensions of the Hubbard and related models have been considered in some recent works. [56][57][58][59][60][61][62][63][64][65][66][67] Different forms of the non-Hermitian Hubbard model have been introduced, which depend on the specific non-Hermitian terms included in the Hamiltonian. Generally, they can involve non-reciprocal hopping terms between lattice sites, complex on-site energies, or complex electron-electron interaction terms.…”

Section: Introductionmentioning

confidence: 99%

Spectral Structure and Doublon Dissociation in the Two‐Particle Non‐Hermitian Hubbard Model

Longhi

2023

Annalen der Physik

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Strongly‐correlated systems in non‐Hermitian models are an emergent area of research. Herein, a non‐Hermitian Hubbard model is considered, where the single‐particle hopping amplitudes on the lattice are not reciprocal, and provide exact analytical results of the spectral structure in the two‐particle sector of Hilbert space under different boundary conditions. The analysis unveils some interesting spectral and dynamical effects of purely non‐Hermitian nature and that deviate from the usual scenario found in the single‐particle regime. Specifically, a spectral phase transition of the Mott‐Hubbard band on the infinite lattice is predicted as the interaction energy is increased above a critical value, from an open to a closed loop in complex energy plane, and the dynamical dissociation of doublons, i.e., instability of two‐particle bound states, in the bulk of the lattice, with a sudden revival of the doublon state when the two particles reach the lattice edge. Particle dissociation observed in the bulk of the lattice is a clear manifestation of non‐Hermitian dynamics arising from the different lifetimes of single‐particle and two‐particle states, whereas the sudden revival of the doublon state at the boundaries is a striking burst edge dynamical effect peculiar to non‐Hermitian systems with boundary‐dependent energy spectra, here predicted for the first time for correlated particles.

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Non-Hermitian skin effect in a one-dimensional interacting Bose gas

Cited by 20 publications

References 146 publications

Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain

Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain

Bulk-boundary correspondence in topological systems with the momentum dependent energy shift

Spectral Structure and Doublon Dissociation in the Two‐Particle Non‐Hermitian Hubbard Model

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