Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2201.11894

Unitary Scattering Protected by Pseudo-Hermiticity

L. Jin
View original source ↗Read source document ↗Export metadata ↓

Abstract

The Hermitian systems possess unitary scattering; however, the Hermiticity is unnecessary for a unitary scattering although the scattering under the influence of non-Hermiticity is mostly non-unitary. Here we prove that the unitary scattering is protected by certain type of pseudo-Hermiticity and unaffected by the degree of non-Hermiticity. The energy conservation is violated in the scattering process and recovers after scattering. The subsystem of the pseudo-Hermitian scattering center including only the connection sites is Hermitian. These findings provide fundamental insights on the unitary scattering, pseudo-Hermiticity, and energy conservation; and are promising for the light propagation, mesoscopic electron transport, and quantum interference in the non-Hermitian systems.

Explore related subjects

cond-mat.mes-hallphysics.opticsquant-ph

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

L. Jin. 2022-01-28. Unitary Scattering Protected by Pseudo-Hermiticity. https://doi.org/10.1088/0256-307x%2F39%2F3%2F037302

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Inverse Purcell Suppression of Decoherence in Majorana Qubits via Environmental Engineering

We show that the electromagnetic or phononic environment of a topological quantum device can be engineered to actively suppress decoherence. For a Majorana qubit in a superconducting wire, the exponentially small splitting $ε\sim e^{-L/ξ}$ that provides topological protection also makes the qubit vulnerable to low-frequency noise. From a microscopic local interaction, we derive the effective low-energy coupling between the Majorana parity operator and a bosonic field; the coupling strength itself is proportional to $ε$, reflecting the qubit's non-local nature. The resulting pure-dephasing rate scales as $Γ_ϕ\propto ε^2 S(ε)$, with $S(ε)$ the environmental noise power at frequency $ε$. In the experimentally relevant high-temperature regime ($k_B T \gtrsim \hbarε$), this gives $Γ_ϕ\propto ερ(ε) T$, where $ρ(ε)$ is the environmental density of states. By engineering an environment with a suppressed low-frequency density of states, $ρ_{\text{eng}}(ω) = ρ_0 (ω/ω_c)^α$ for $ω< ω_c$ ($α> 0$), the dephasing rate drops to $Γ_ϕ^{\text{eng}} \propto ε^{α+1} \propto e^{-(α+1)L/ξ}$. Thus, longer wires yield exponentially better coherence---a direct synergy with topological protection. This "inverse Purcell" effect, which suppresses the density of states at the qubit frequency, provides a quantitative design principle for environmental engineering. Our work establishes spectral density shaping as a practical method for enhancing coherence in topological quantum devices.

cond-mat.mes-hall↗
arXiv2026

Axionic tunneling from a topological Kondo insulator

Discoveries over the past two decades have revealed the remarkable ability of quantum materials to emulate relativistic properties of the vacuum, from Dirac cones in graphene to Dirac surface states of topological insulators. Yet one of the most elusive consequences of topology in quantum matter -- the axionic ${\bf E}\cdot{\bf B}$ contribution to the electromagnetic response, predicted to produce strong magnetoelectric effects -- remains experimentally challenging to detect. Here we report evidence for an axion-like magnetoelectric response obtained through scanning tunneling microscopy (STM) using a SmB$_6$ nanowire tip on an antiferromagnetic Fe$_{1+x}$Te sample. Our measurements reveal a striking voltage-induced magnetization: millivolt biases generate measurable tip magnetizations that reverse with the voltage. The magnitude, tunability, and reversibility of this signal are consistent with an axion-like ${\bf E} \cdot {\bf B}$ coupling, which naturally accounts for the voltage-odd magnetic component of the tip spectral function while strongly constraining a conventional static-magnetism interpretation. Moreover, millivolt-scale control of spin polarization in a tunnel junction provides a new route for probing axionic electrodynamics and opens avenues for future STM and spintronic applications.

cond-mat.mes-hall↗
arXiv2026

Exciton-mediated optical control of liquid-solid friction

Interfacial friction in nanofluidic systems can arise from fluctuation-induced coupling between liquid charge fluctuations and the internal excitations of the confining solid. Here, we develop a microscopic theory of exciton-mediated solid-liquid friction based on the coupling between optically generated excitons and charge fluctuations in water. We distinguish between static excitons, localized by disorder or functionalization, and dynamic excitons, which interact with water through polarization fluctuations. In both cases, we derive analytical formulas for the excitonic friction, which is experimentally tunable and can significantly reduce the slip length and thereby the hydraulic permeability of nanochannels. Applying our framework to carbon nanotubes, we quantitatively reproduce the recent measurements of Kistwal et al., showing a reduction of nanotube diffusion under optical excitation, without fitting parameters. More broadly, our results establish excitons as a mechanism to optically control nanofluidic transport and suggest that excitonic photoluminescence could provide an optical probe of flow velocity inside nanochannels.

cond-mat.mes-hall↗