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The electron dephasing time $\tau_{\phi}$ in a diffusive quantum dot is calculated by considering the interaction between the electron and dynamical defects, modelled as two-level system. Using the standard tunneling model of glasses, we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kang-Hun Ahn , Pritiraj Mohanty

We study the dynamics of a beam of fermions diffracted off a density grating formed by fermionic atoms in the limit of a large grating. An exact description of the system in terms of particle-hole operators is developed. We use a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 H. Christ , C. P. Search , P. Meystre

We demonstrate a fundamental breakdown of the photonic spontaneous emission (SE) formula derived from Fermi's golden rule, in absorptive and amplifying media, where one assumes the SE rate scales with the local photon density of states, an…

In this paper we derive an analytic approximation to the density of states for atoms in a combined optical lattice and harmonic trap potential as used in current experiments with quantum degenerate gases. We compare this analytic density of…

Statistical Mechanics · Physics 2007-06-18 P. B. Blakie , A. Bezett , P. Buonsante

We consider density-imbalanced Fermi gases of atoms in the strongly interacting, i.e. unitarity, regime. The Bogoliubov-deGennes equations for a trapped superfluid are solved. They take into account the finite size of the system, as well as…

Strongly Correlated Electrons · Physics 2011-08-11 J. Kinnunen , L. M. Jensen , P. Torma

The transition from the weakly interacting BCS regime to the strongly interacting unitary regime is explored for ultracold trapped Fermi gases assuming a normal mode description of the gas instead of the conventional Cooper pairing. The…

Quantum Gases · Physics 2022-06-27 D. K. Watson

Local density fluctuations and density profiles of a Fermi gas are measured in-situ and analyzed. In the quantum degenerate regime, the weakly interacting $^6$Li gas shows a suppression of the density fluctuations compared to the…

We use a combinatorial approach to obtain exact expressions for the many-body density of states of fermionic and bosonic gases with equally spaced single-particle spectra. We identify a mapping that reveals a remarkable property, namely,…

Quantum Gases · Physics 2025-02-11 Carolyn Echter , Georg Maier , Juan-Diego Urbina , Caio Lewenkopf , Klaus Richter

We analyse some compositeness effects and their relation with entanglement. We show that the purity of a composite system increases, in the sense of the expectation values of the deviation operators, with large values of the entanglement…

Quantum Physics · Physics 2007-05-23 Pedro Sancho

The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing) is investigated in a single-equation approach to the time-dependent…

Soft Condensed Matter · Physics 2009-02-05 Yeong E. Kim , Alexander L. Zubarev

The theory of Fermion oscillators has two essential ingredients: zero-point energy and Pauli exclusion principle. We devlop the theory of the statistical mechanics of generalized q-deformed Fermion oscillator algebra with inclusion…

Quantum Physics · Physics 2007-05-23 P. Narayana Swamy

We study heating rates in strongly interacting quantum lattice systems in the thermodynamic limit. Using a numerical linked cluster expansion, we calculate the energy as a function of the driving time and find a robust exponential regime.…

Statistical Mechanics · Physics 2019-12-16 Krishnanand Mallayya , Marcos Rigol

The partition function of composite bosons ("cobosons" for short) is calculated in the canonical ensemble, with the Pauli exclusion principle between their fermionic components included in an exact way through the finite temperature…

Statistical Mechanics · Physics 2016-12-13 Shiue-Yuan Shiau , Monique Combescot , Yia-Chung Chang

We discuss the importance of the real part of the Feynman-Vernon influence action for the analysis of dephasing and decay near the ground state of a system which is coupled to a bath. Using exactly solvable linear quantum dissipative…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Florian Marquardt

The act of measurement on a quantum state is supposed to "collapse" the state into one of several eigenstates of the operator corresponding to the observable being measured. This measurement process is sometimes described as outside…

Quantum Physics · Physics 2021-10-26 Satish Ramakrishna

The analytical gradient for periodic systems is presented, for the case of metallic systems. The total energy and the free energy are computed on the Hartree-Fock or density functional level, with the wave function being expanded in terms…

Materials Science · Physics 2012-04-25 K. Doll

We use a configuration-interaction approach and Fermi golden rule to investigate electron-phonon interaction in realistic multi-electron quantum dots. Lifetimes are computed in the low-density, highly correlated regime. We report numerical…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. Bertoni , M. Rontani , G. Goldoni , E. Molinari

Pauli blocking in Fermi liquids imposes strong phase-space constraints on quasiparticle lifetimes, leading to a well-known quadratic-in-temperature decay rate of quasiparticle modes at low temperatures. In two-dimensional systems, however,…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Eric Nilsson , Ulf Gran , Johannes Hofmann

Using numerical simulation based on a density-functional equation for a trapped Fermi super-fluid valid along the BCS-unitarity crossover, we establish robust scaling over many orders of magnitude in the observables of the system as a…

Quantum Gases · Physics 2015-05-13 Sadhan K. Adhikari

We investigate dephasing in open quantum chaotic systems in the limit of large system size to Fermi wavelength ratio, $L/\lambda_F >> 1$. We semiclassically calculate the weak localization correction $g^{wl}$ to the conductance for a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Cyril Petitjean , Philippe Jacquod , Robert S. Whitney
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