analiza aiqbench
This research advances the theoretical framework for non-Hermitian quantum systems by establishing a consistent pseudospin formalism that reveals novel collective modes in driven fermionic superfluids. The study demonstrates how exceptional points alter resonance spectra and introduces phase modes distinct from conventional Hermitian counterparts, offering fresh insights into open quantum matter dynamics. While rooted in condensed matter theory, these findings are relevant to the broader field of non-Hermitian quantum mechanics as it evolves toward practical applications in AI-driven material discovery or specialized simulation architectures.
Collective modes in non-Hermitian fermionic superfluids
arXiv:2607.18814v1 Announce Type: cross Abstract: The Higgs and Nambu-Goldstone modes are paradigmatic collective excitations in superconductors and superfluids. These modes are commonly analyzed within the pseudospin formulation of BCS theory, where the dynamics are obtained from the Heisenberg equations of motion for pseudospins. However, this construction becomes inconsistent when directly extended to non-Hermitian systems. In this work, we develop a consistent pseudospin framework for non-Hermitian fermionic superfluids based on the metricized formulation of non-Hermitian quantum mechanics. We apply this formalism to a driven non-Hermitian BCS-type Hamiltonian with complex pairing interaction and analyze its collective excitation spectrum. We find that, in addition to the conventional Higgs (amplitude) mode, the system hosts a novel phase mode that has no counterpart in Hermitian superfluids. Remarkably, this mode is gapped even in the absence of the Anderson-Higgs mechanism, as is the case in neutral superfluids. Furthermore, the resonance spectrum depends explicitly on the initial nongauge phase of the complex order parameter and the dynamical response remains finite at resonance, in contrast to the divergence characteristic of Hermitian systems. These resonances disappear upon the emergence of exceptional points.
Abstract:The Higgs and Nambu-Goldstone modes are paradigmatic collective excitations in superconductors and superfluids. These modes are commonly analyzed within the pseudospin formulation of BCS theory, where the dynamics are obtained from the Heisenberg equations of motion for pseudospins. However, this construction becomes inconsistent when directly extended to non-Hermitian systems. In this work, we develop a consistent pseudospin framework for non-Hermitian fermionic superfluids based on the metricized formulation of non-Hermitian quantum mechanics. We apply this formalism to a driven non-Hermitian BCS-type Hamiltonian with complex pairing interaction and analyze its collective excitation spectrum. We find that, in addition to the conventional Higgs (amplitude) mode, the system hosts a novel phase mode that has no counterpart in Hermitian superfluids. Remarkably, this mode is gapped even in the absence of the Anderson-Higgs mechanism, as is the case in neutral superfluids. Furthermore, the resonance spectrum depends explicitly on the initial nongauge phase of the complex order parameter and the dynamical response remains finite at resonance, in contrast to the divergence characteristic of Hermitian systems. These resonances disappear upon the emergence of exceptional points.
Superconductivity (cond-mat.supr-con); Quantum Gases (cond-mat.quant-gas); Quantum Physics (quant-ph)
arXiv:2607.18814 [cond-mat.supr-con]
(or arXiv:2607.18814v1 [cond-mat.supr-con] for this version)
https://doi.org/10.48550/arXiv.2607.18814 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
Text integral sub licența deschisă a publicației · 277 cuvinte
Subiecte conexe
Researchers Detect Novel Phase Mode in Non-Hermitian Superfluids
Quantum Zeitgeist · 13 aug. 2026
Experimental observation of Higgs oscillations and their power-law decay across pairing regimes in a cavity QED quantum simulator
arXiv · 14 oct. 2026
Disorder-Induced Enhancement of Fermionic Superradiance
arXiv · 28 iul. 2026
Collectively pair-driven-dissipative bosonic arrays: exotic and self-oscillatory condensates
arXiv · 15 sept. 2026