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We derive dispersion relations for $K\to\pi\pi$ decay, using the Lehmann-Symanzik-Zimmermann formalism, which allows the analytic continuation of the amplitudes with respect to the momenta of the external particles. No off-shell…

High Energy Physics - Phenomenology · Physics 2011-09-13 C. Bourrely , I. Caprini , L. Micu

We study two-dimensional (2D) Dirac fermions in the presence of a periodic mass term alternating between positive and negative values along one direction. This scenario could be realized for a graphene monolayer or for the surface states of…

Mesoscale and Nanoscale Physics · Physics 2023-06-29 A. De Martino , L. Dell'Anna , L. Handt , A. Miserocchi , R. Egger

Atomic arrays can exhibit collective light emission when the transition wavelength exceeds their lattice spacing. Subradiant states take advantage of this phenomenon to drastically reduce their overall decay rate, allowing for long-lived…

Quantum Physics · Physics 2024-01-29 Nik O. Gjonbalaj , Stefan Ostermann , Susanne F. Yelin

Dicke superradiance is an example of emergence of macroscopic quantum coherence via correlated dissipation. Starting from an initially incoherent state, a collection of excited atoms synchronizes as they decay, generating a macroscopic…

Quantum Physics · Physics 2022-05-27 Stuart J Masson , Ana Asenjo-Garcia

Critical phase transitions contain a variety of deep and universal physics, and are intimately tied to thermodynamic quantities through scaling relations. Yet, these notions are challenged in the context of non-Hermiticity, where spatial or…

Statistical Mechanics · Physics 2021-01-06 R. Arouca , C. H. Lee , C. Morais Smith

One-dimensional (1D) subwavelength atom arrays display multiply excited subradiant eigenstates which are reminiscent of free fermions. So far, these states have been associated with subradiant states with decay rates $\propto N^{-3}$, with…

Quantum Physics · Physics 2022-03-08 Yu-Xiang Zhang , Klaus Mølmer

Spontaneous emission of a two--level atom in free space is modified by other atoms in its vicinity leading to super- and sub-radiance. In particular, for atomic distances closer than the transition wavelength the maximally entangled…

Quantum Physics · Physics 2017-04-12 Martin Hebenstreit , Barbara Kraus , Laurin Ostermann , Helmut Ritsch

Su-Schrieffer-Heeger (SSH) model on two-dimensional square lattice exhibits a topological phase transition, which is related to the Zak phase determined by bulk band topology. The strong modulation of electron hopping causes nontrivial…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Daichi Obana , Feng Liu , Katsunori Wakabayashi

We investigate the possibility of a Dicke-type superradiant phase transition of an atomic gas with an extended model which takes into account the short-range depolarizing interactions between atoms approaching each other as close as the…

Quantum Physics · Physics 2016-09-13 Tobias Grießer , András Vukics , Peter Domokos

This paper is devoted to energy-spectral analysis for the system of a two-level atom coupled with photons in a cavity. It is shown that the Dicke-type energy level crossings take place when the atom-cavity interaction of the system…

Quantum Physics · Physics 2013-05-29 Masao Hirokawa

We introduce a one-parameter deformation for one-dimensional (1D) quantum lattice models, the hyperbolic deformation, where the scale of the local energy is proportional to cosh lambda j at the j-th site. Corresponding to a 2D classical…

Other Condensed Matter · Physics 2010-10-27 Hiroshi Ueda , Hiroki Nakano , Koichi Kusakabe , Tomotoshi Nishino

The bound state and low-energy scattering properties of two oriented dipoles are investigated for both bosonic and fermionic symmetries. Interestingly, a universal scaling emerges for the expectation value of the angular momentum for…

Atomic Physics · Physics 2012-02-15 Yujun Wang , Chris H. Greene

A decimation method is applied to the tight binding model describing the two dimensional electron gas with next nearest neighbor interaction in the presence of an inverse golden mean magnetic flux. The critical phase with fractal spectrum…

Condensed Matter · Physics 2016-08-31 Jukka A. Ketoja , Indubala I. Satija , Juan Carlos Chaves

We generalize the theoretical modeling of collective atomic super- and subradiance to the multilevel case including spontaneous emission from several excited states towards a common ground state. We show that in a closely packed ensemble of…

Quantum Physics · Physics 2019-05-07 Raphael Holzinger , Laurin Ostermann , Helmut Ritsch

Since Dicke's seminal paper on coherence in spontaneous radiation by atomic ensembles, superradiance has been extensively studied. Subradiance, on the contrary, has remained elusive, mainly because subradiant states are weakly coupled to…

Atomic Physics · Physics 2016-03-24 William Guerin , Michelle O. Araújo , Robin Kaiser

Studies of subradiance in a chain N two-level atoms in the single excitation regime focused mainly on the complex spectrum of the effective Hamiltonian, identifying subradiant eigenvalues. This can be achieved by finding the eigenvalues $N$…

Quantum Physics · Physics 2025-07-22 Nicola Piovella

Ensembles of dipolar emitters which couple collectively to the radiation field display sub- and superradiance. These terms refer to a reduction or an enhancement of photon emission rates due to the interference of emission channels. Arrays…

Quantum Physics · Physics 2025-02-04 Beatriz Olmos , Igor Lesanovsky

When an inverted ensemble of atoms is tightly packed on the scale of its emission wavelength or when the atoms are collectively strongly coupled to a single cavity mode, their dipoles will align and decay rapidly via a superradiant burst.…

We introduce an accurate non-Hermitian Schr\"odinger-type approximation of Bloch optical equations for two-level systems. This approximation provides a complete description of the excitation, relaxation and decoherence dynamics in both weak…

Quantum Physics · Physics 2016-07-11 Raiju Puthumpally-Joseph , Maxim Sukharev , Eric Charron

Topological phase transitions are found in a variety of systems and were shown to be deeply related with a thermodynamic description through scaling relations. Here, we investigate the entanglement entropy, which is a quantity that captures…

Quantum Physics · Physics 2025-02-03 D. F. Munoz-Arboleda , R. Arouca , C. Morais Smith