Abstract
Quantum dots are one of the paradigmatic solid-state systems for quantum engineering, providing an outstanding tunability to explore fundamental quantum phenomena. Here we show that non-Hermitian many-body topological modes can be realized in a quantum dot chain by utilizing a gate-tunable modulation of dissipation, and they emerge purely because of the non-Hermiticity. By exactly solving the non-Hermitian interacting description both with exact diagonalization and tensor-networks, we demonstrate that these topological modes are robust even in the presence strong interactions, leading to a strongly correlated topological many-particle state. Our results put forward quantum dot arrays as a platform for engineering non-Hermitian many-body topological modes, and highlight the resilience of non-Hermitian topology to electronic interactions.
Highlights
Non-Hermitian (NH) phenomena emerging in artificially designed systems have motivated the rise of a new family of topological states [1,2]
Because the gate-tunability of the quantum dots allows us to control the parameters of the lowenergy theory, including the interactions and the dissipation, our results put forward quantum dot arrays as model systems for investigating the interplay of NH topology and many-body interactions
T eik 0 t ig4 t is the nearest-neighbor hopping amplitude and the nontrivial topology arises from the on-site non-Hermiticity igi [32,33,34]. While this model supports a family of topological phases [32,33,34], we focus on the case g1 = g4 = 0 and g2 = g3 = −2g
Summary
Non-Hermitian (NH) phenomena emerging in artificially designed systems have motivated the rise of a new family of topological states [1,2]. The Chern number is C = −1 for the parameters described above giving rise to NH topological end modes with zero real part of the energy [33,35].
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