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We give the generalization of a recent variational formulation for nonconservative classical mechanics, for fermionic and sypersymmetric systems. Both cases require slightly modified boundary conditions. The supersymmetric version is given…

高能物理 - 理论 · 物理学 2015-08-18 N. E. Martínez-Pérez , C. Ramírez

Exceptional points (EPs) are non-Hermitian degeneracies where eigenvalues and eigenvectors coalesce, giving rise to unusual physical effects across scientific disciplines. The concept of EPs has recently been extended to nonlinear physical…

Loss-induced transmission in waveguides, and reversed pump dependence in lasers, are two prominent examples of counter-intuitive effects in non-Hermitian systems with patterned gain and loss. By analyzing the eigenvalue dynamics of complex…

光学 · 物理学 2016-11-03 Alexander Cerjan , Shanhui Fan

We consider theoretically density-density correlation of identical Fermi system by including the finite resolution of a detector and delta-function term omitted in the ordinary method. We find an anomalous fermion bunching effect, which is…

其他凝聚态物理 · 物理学 2011-02-19 Hongwei Xiong , Shujuan Liu

The "parity" anomaly -- more accurately described as an anomaly in time-reversal or reflection symmetry -- arises in certain theories of fermions coupled to gauge fields and/or gravity in a spacetime of odd dimension. This anomaly has…

高能物理 - 理论 · 物理学 2016-12-07 Edward Witten

Exceptional points in non-Hermitian systems have recently been shown to possess nontrivial topological properties, and to give rise to many exotic physical phenomena. However, most studies thus far have focused on isolated exceptional…

光学 · 物理学 2019-02-21 Hengyun Zhou , Jong Yeon Lee , Shang Liu , Bo Zhen

Disordered systems theory provides powerful tools to analyze the generic behaviors of highdimensional systems, such as species-rich ecological communities or neural networks. By assuming randomness in their interactions, universality…

种群与进化 · 定量生物学 2025-03-20 Juan Giral Martínez

We propose a mixed-geometry system of fermionic species selectively confined in lattices of different geometry. We investigate how such asymmetry can lead to exotic multiband fermion pairing in an example system of honeycomb and triangular…

量子气体 · 物理学 2013-01-30 Dong-Hee Kim , Joel S. J. Lehikoinen , Päivi Törmä

We develop a systematically general theory of one-dimensional (1D) non-Hermitian systems, elaborating on the energy bands, the band degeneracy, and the defectiveness of eigenstates under open boundary conditions. We analyze the band…

介观与纳米尺度物理 · 物理学 2022-02-22 Yongxu Fu , Shaolong Wan

A bosonized nonlinear (polynomial) supersymmetry is revealed as a hidden symmetry of the finite-gap Lame equation. This gives a natural explanation for peculiar properties of the periodic quantum system underlying diverse models and…

高能物理 - 理论 · 物理学 2009-11-11 Francisco Correa , Luis-Miguel Nieto , Mikhail S. Plyushchay

In the present paper, first the mathematical basic properties of the exceptional points are discussed. Then, their role in the description of real physical quantum systems is considered. Most interesting value is the phase rigidity of the…

量子物理 · 物理学 2010-11-03 Ingrid Rotter

Bulk fermionic matter, as it can be notably found in supernova matter and neutrons stars, is subject to correlations of infinite range due to the antisymmetrisation of the N-body wave function, which cannot be explicitly accounted for in a…

核理论 · 物理学 2012-01-09 Francesca Gulminelli , Takuya Furuta , Olivier Juillet , Christian Leclercq

It is taken for granted that bound systems are made of massive constituents that interact through particle exchanges (charged particles interacting via photon exchanges, quarks in elementary particles interacting via gluon exchanges, and…

高能物理 - 唯象学 · 物理学 2022-02-11 V. A. Karmanov

We consider a PT-symmetric Fermi gas with an exceptional point, representing the critical point between PT-symmetric and symmetry broken phases. The low energy spectrum remains linear in momentum and is identical to that of a hermitian…

强关联电子 · 物理学 2022-04-11 Balázs Dóra , Doru Sticlet , Catalin Pascu Moca

The evolution pattern of exceptional points is studied in a non-integrable limit of the complex-extended 3-level Richardson-Gaudin model. The appearance of a pseudo-diabolic point from the fusion of two exceptional points is demonstrated in…

量子物理 · 物理学 2008-11-27 J. Okolowicz , M. Ploszajczak , J. Dukelsky

The dynamics of quantum field theories on bounded domains requires the introduction of boundary conditions on the quantum fields. We address the problem from a very general perspective by using charge conservation as a fundamental principle…

高能物理 - 理论 · 物理学 2015-01-16 M. Asorey , D. Garcia-Alvarez , J. M. Munoz-Castaneda

We investigate the vacuum expectation value of the energy-momentum tensor associated with a massive fermionic field obeying the MIT bag boundary condition on a spherical shell in the global monopole spacetime. The asymptotic behavior of the…

高能物理 - 理论 · 物理学 2008-11-26 A. A. Saharian , E. R. Bezerra de Mello

A topological measure characterizing symmetry-protected topological phases in one-dimensional open fermionic systems is proposed. It is built upon the kinematic approach to the geometric phase of mixed states and facilitates the extension…

量子物理 · 物理学 2020-05-20 Da-Jian Zhang , Jiangbin Gong

I suggest and examine artificial material which has exponentially degenerate vacuum state. The corresponding Hamiltonian contains only exotic four-spin interaction term. Each vacuum state is realized as a particular spin configuration…

凝聚态物理 · 物理学 2007-05-23 G. K. Savvidy

We provide an extension of a recent approach to study non-equilibrium thermodynamics [Phys. Rev. E 81, 051130 (2010), to be denoted by I in this work] to inhomogeneous systems by considering the latter to be composed of quasi-independent…

统计力学 · 物理学 2013-05-30 P. D. Gujrati