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The decay of a bound state weakly-coupled to a non-Hermitian tight-binding unstable continuum, i.e. a continuum of states comprising energies with positive imaginary part, is theoretically investigated. As compared to quantum decay in an…

Quantum Physics · Physics 2016-08-03 Stefano Longhi

A possibility of the condensation of excitations with a non-zero momentum in rectilinearly moving and rotating superfluid bosonic and fermionic (with Cooper pairing) media is considered in terms of a phenomenological order-parameter…

Quantum Gases · Physics 2016-11-21 E. E. Kolomeitsev , D. N. Voskresensky

Superfluid condensates are known to occur in contexts ranging from laboratory liquid helium to neutron stars, and are also likely to occur in cosmological phenomena such as axion fields. In the zero temperature limit, such condensates are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brandon Carter

We study the pairing dynamics of polar states in a single species p-wave superfluid Fermi gas following a sudden change of the interaction strength. The anisotropy of pair interaction together with the presence of the centrifugal barrier…

Quantum Gases · Physics 2017-09-13 Sukjin Yoon , Gentaro Watanabe

We present the analytical results at the mean-field level for the asymmetrical fermion system with attractive contact interaction at the zero temperature. The results can be expressed in terms of linear combinations of the elliptic…

Other Condensed Matter · Physics 2013-05-29 Wang-Chang Su

A fluid occupying a mechanically isolated vessel with walls kept at spatially non-uniform temperature is in the long run expected to reach the spatially inhomogeneous steady state. Irrespective of the initial conditions the velocity field…

Analysis of PDEs · Mathematics 2020-09-29 Mark Dostalík , Vít Průša , K. R. Rajagopal

We study the influence of reflective boundaries on time-dependent responses of one-dimensional quantum fluids at zero temperature beyond the low-energy approximation. Our analysis is based on an extension of effective mobile impurity models…

Strongly Correlated Electrons · Physics 2016-06-01 I. S. Eliëns , F. B. Ramos , J. C. Xavier , R. G. Pereira

The helical electron states on the surface of topological insulators or elemental Bismuth become unstable toward superconducting pairing formation when coupled to the charge or magnetic fluctuations. The latter gives rise to pairing…

Superconductivity · Physics 2019-10-23 Hossein Hosseinabadi , Mehdi Kargarian

Entanglement is typically created via systematic intervention in the time evolution of an initially unentangled state, which can be achieved by coherent control, carefully tailored non-demolition measurements, or dissipation in the presence…

Quantum Gases · Physics 2015-06-05 Michael Foss-Feig , Andrew J. Daley , James K. Thompson , Ana Maria Rey

A spatially oscillating pair potential $\Delta(r)=\Delta_0 e^{2i K\cdot r}$ with momentum $K>\Delta_0/\hbar v$ drives a deconfinement transition of the Majorana bound states in the vortex cores of a Fu-Kane heterostructure (a 3D topological…

Mesoscale and Nanoscale Physics · Physics 2021-06-07 M. J. Pacholski , G. Lemut , O. Ovdat , İ. Adagideli , C. W. J. Beenakker

We study bound states of two fermions with opposite spins in an extended Hubbard chain. The particles interact when located both on a site or on adjacent sites. We find three different types of bound states. Type U is predominantly formed…

Quantum Gases · Physics 2009-05-11 J. -P. Nguenang , S. Flach

Decay of bound states due to coupling with free particle states is a general phenomenon occurring at energy scales from MeV in nuclear physics to peV in ultracold atomic gases. Such a coupling gives rise to Fano-Feshbach resonances (FFR)…

We derive bounds on the precision of fluctuating currents, which are valid for the steady state of underdamped Langevin dynamics. These bounds provide a generalization of the overdamped thermodynamic uncertainty relation to the finite-mass…

Statistical Mechanics · Physics 2022-02-23 Andreas Dechant

We explore the impact of highly excited bound states on the evolution of number densities of new physics particles, specifically dark matter, in the early Universe. Focusing on dipole transitions within perturbative, unbroken gauge…

High Energy Physics - Phenomenology · Physics 2023-11-30 Tobias Binder , Mathias Garny , Jan Heisig , Stefan Lederer , Kai Urban

We study superfluid states in a two-dimensional fermionic attractive Hubbard model with Zeeman coupling to an external field. Focusing our attention on singlet pairing in both weak and strong coupling regimes, we reveal a rich phase diagram…

Strongly Correlated Electrons · Physics 2021-01-04 Stephen Keeling , Predrag Nikolić

We study the behavior of the bound state energy of a system consisting of two identical heavy fermions of mass M and a light particle of mass m. The heavy fermions interact with the light particle through a short-range two-body potential…

Quantum Gases · Physics 2015-06-12 A. Safavi-Naini , Seth. T. Rittenhouse , D. Blume , H. R. Sadeghpour

We consider a gas of fermions at zero temperature and low density, interacting via a microscopic two body potential which admits a bound state. The particles are confined to a domain with Dirichlet (i.e. zero) boundary conditions. Starting…

Mathematical Physics · Physics 2016-08-04 Rupert L. Frank , Marius Lemm , Barry Simon

The symmetry and the locality are the two major sources of various nontrivial statements in quantum many-body systems. We demonstrate that, in gapped phases of a U(1) symmetric Hamiltonian with finite-range interactions, the bulk properties…

Statistical Mechanics · Physics 2019-02-26 Haruki Watanabe

We derive a uniform bound for the difference of two contractive semigroups, if the difference of their generators is form-bounded by the Hermitian parts of the generators themselves. We construct a semigroup dynamics for second order…

Dynamical Systems · Mathematics 2007-05-23 Kresimir Veselic

We study the fermionic boundary modes (Andreev bound states) in a time-reversal invariant one-dimensional superconductor. In the presence of a substrate, spatial inversion symmetry is broken and the electronic properties are strongly…

Superconductivity · Physics 2017-02-15 K. V. Samokhin