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We introduce the quantum Cayley graphs associated to quantum discrete groups and study them in the case of trees. We focus in particular on the notion of quantum ascending orientation and describe the associated space of edges at infinity,…

Operator Algebras · Mathematics 2020-06-04 Roland Vergnioux

We put forward a phenomenological theory for entanglement dynamics in monitored quantum many-body systems with well-defined quasiparticles. Within this theory entanglement is carried by ballistically propagating non-Hermitian quasiparticles…

Statistical Mechanics · Physics 2023-04-21 Xhek Turkeshi , Marcello Dalmonte , Rosario Fazio , Marco Schirò

Predictions of the spectroscopic properties of low-lying states are critical for nuclear structure studies, but are problematic for nuclei with an odd nucleon due to the interplay of the unpaired single particle with nuclear collective…

Nuclear Theory · Physics 2017-12-06 S. Quan , W. P. Liu , Z. P. Li , M. S. Smith

In a one-dimensional weakly interacting Bose-Fermi mixture one branch of elementary excitations is well described by the Bogoliubov spectrum. Here we use the microscopic theory to study the decay of such quasiparticle excitations. The main…

Quantum Gases · Physics 2017-01-31 Benjamin Reichert , Aleksandra Petkovic , Zoran Ristivojevic

Understanding the spreading of quantum correlations in out-of-equilibrium many-body systems is one of the major challenges in physics. For {\it isolated} systems, a hydrodynamic theory explains the origin and spreading of entanglement via…

Statistical Mechanics · Physics 2021-01-27 Vincenzo Alba , Federico Carollo

The effective low-energy excitations in a metallic or semimetallic crystalline system (i.e. electronic quasiparticles) always have a finite spatial extent. It is self-evident but virtually unexplored how the associated internal degrees of…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Tobias Holder

We study quasi-one-dimensional scattering of one and two particles with short-range interactions on a discrete lattice model in two dimensions. One of the directions is tightly confined by an arbitrary trapping potential. We obtain the…

Quantum Physics · Physics 2015-05-28 Manuel Valiente , Klaus Molmer

Many superconducting devices rely on the finite gap in the excitation spectrum of a superconductor: thanks to this gap, at temperatures much smaller than the critical one the number of excitations (quasiparticles) that can impact the…

Superconductivity · Physics 2024-09-05 P. B. Fischer , G. Catelani

Considering the two-photon exchange interaction between n coupled cavities each of them containing a two level atom, the atomic and photonic state transfer is investigated. In fact, n atom-cavity systems are considered to be distributed on…

Quantum Physics · Physics 2015-06-18 R. Sufiani

The decay of an excited atom in the presence of a medium that both scatters and absorbs radiation is studied with the help of a quantum-electrodynamical model. The medium is represented by a half space filled with a randomly distributed set…

Quantum Physics · Physics 2018-07-23 L. G. Suttorp , A. J. van Wonderen

We consider the random wetting transition on the Cayley tree, i.e. the problem of a directed polymer on the Cayley tree in the presence of random energies along the left-most bonds. In the pure case, there exists a first-order transition…

Disordered Systems and Neural Networks · Physics 2009-03-26 Cecile Monthus , Thomas Garel

We study a nearest-neighbor hopping model on the Cayley tree under the smooth boundary condition with the modulation function $f_s=\sin^2[\pi s/(2M+1)]$, where $s$ is a distance from the central site, and $M$ is the number of shells on the…

Statistical Mechanics · Physics 2014-12-10 Hiro-Aki Hotta

The initial stages of the quasiparticle decay in a Fermi liquid are governed by a time-scale distinct from the scattering rates as derived from the Fermi golden rule approach. We show that the initial decay is nonexponential and that it is…

Strongly Correlated Electrons · Physics 2011-07-29 Y. Pavlyukh , A. Rubio , J. Berakdar

Non-equilibrium quasiparticle excitations degrade the performance of a variety of superconducting circuits. Understanding the energy distribution of these quasiparticles will yield insight into their generation mechanisms, the limitations…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 K. Serniak , M. Hays , G. de Lange , S. Diamond , S. Shankar , L. D. Burkhart , L. Frunzio , M. Houzet , M. H. Devoret

As a follow up of [Phys. Scr. 99 055305 (2024)], where we studied axial octupole shapes in two-quasiparticle states of even-even nuclei, we investigate this type of shapes in odd-mass and odd-odd well-deformed nuclei, using the…

Nuclear Theory · Physics 2025-12-23 N. Kontowicz , L. Bonneau , J. Bartel , H. Molique , N. Minkov , M. -H. Koh

We study the statistics of quasiparticle and quasihole levels in small interacting disordered systems within the Hartree-Fock approximation. The distribution of the inverse compressibility, given according to Koopmans' theorem by the…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Shimon Levit , Dror Orgad

We show that the entanglement entropy of single quasiparticle excitations of one dimensional systems exceeds the ground state entanglement entropy for log(2), if the correlation length of the system is finite. For quadratic fermion systems…

Quantum Physics · Physics 2012-02-16 Iztok Pizorn

Recent measurements of electron escape from a non-equilibrium charged quantum dot are interpreted within a 2D separable model. The confining potential is derived from 3D self-consistent Poisson-Thomas-Fermi calculations. It is found that…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Martorell , D. W. L. Sprung , P. A. Machado , C. G. Smith

Highly-excited single-particle states in nuclei are coupled with the excitations of a more complex character, first of all with collective phonon-like modes of the core. In the framework of the quasiparticle-phonon model we consider the…

Nuclear Theory · Physics 2009-11-10 Chavdar Stoyanov , Vladimir Zelevinsky

We consider a discrete-time quantum walk W_t given by the Grover transformation on the Cayley tree. We reduce W_t to a quantum walk X_t on a half line with a wall at the origin. This paper presents two types of limit theorems for X_t. The…

Quantum Physics · Physics 2010-09-21 Kota Chisaki , Masatoshi Hamada , Norio Konno , Etsuo Segawa