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We introduce a general variational framework to address the tunneling of hot Fermi systems. We use the representation of the trace of the imaginary time $\tau=it$ propagator as a functional integral type of a sum over complete sets of…

Nuclear Theory · Physics 2020-12-25 Shimon Levit

A numerically exact path integral treatment of the absorption and emission spectra of open quantum systems is presented that requires only the straightforward solution of a stochastic differential equation. The approach converges rapidly…

Chemical Physics · Physics 2015-05-05 Jeremy Moix , Jian Ma , Jianshu Cao

Fractional photon-assisted tunneling is investigated both analytically and numerically for few interacting ultra-cold atoms in the double-wells of an optical superlattice. This can be realized experimentally by adding periodic shaking to an…

Quantum Gases · Physics 2015-03-18 Martin Esmann , Niklas Teichmann , Christoph Weiss

We present a theoretical study of the dissociative tunneling ionization process. Analytic expressions for the nuclear kinetic energy distribution of the ionization rates are derived. A particularly simple expression for the spectrum is…

Atomic Physics · Physics 2016-06-08 Jens Svensmark , Oleg I. Tolstikhin , Lars Bojer Madsen

We develop a new simulation technique based on path-integral molecular dynamics for calculating ground-state tunneling splitting patterns from ratios of symmetrized partition functions. In particular, molecular systems are rigorously…

We establish the path integral approach for the time-dependent heat exchange of an externally driven quantum system coupled to a thermal reservoir. We derive the relevant influence functional and present an exact formal expression for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Carrega , P. Solinas , A. Braggio , M. Sassetti , U. Weiss

Inspired by new trends in atomtronics, cold atoms devices and Bose-Einstein condensate dynamics, we apply a general technique of N=4 extended Supersymmetric Quantum Mechanics to isospectral Hamiltonians with triple-well potentials, i.e.…

Quantum Physics · Physics 2013-03-05 V. P. Berezovoj , M. I. Konchatnij , A. J. Nurmagambetov

To describe the tunneling dynamics of a stack of two-dimensional fermionic superfluids in an optical potential, we derive an effective action functional from a path integral treatment. This effective action leads, in the saddle point…

Condensed Matter · Physics 2007-05-23 M. Wouters , J. Tempere , J. T. Devreese

We theoretically investigate the real-time emission spectrum of a two-level atom coupled to an optomechanical cavity (OMC). Using quantum trajectory approach we obtain the single-photon time-dependent spectrum in this hybrid system where…

Quantum Physics · Physics 2019-08-30 Imran M. Mirza

The electron transmission $T$ is evaluated through waveguides, in which the strength of the spin-orbit interaction(SOI) $\alpha$ is varied periodically, using the transfer-matrix technique. It is shown that $T$ exhibits a {\it…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. F. Wang , P. Vasilopoulos

The quantum conductance of the single-electron tunneling (SET) transistor is investigated in this paper by the functional integral approach. The formalism is valid for arbitrary tunnel resistance of the junctions forming the SET transistor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Xiaohui Wang

A combined approach that uses the vibrational self-consistent field (VSCF) and vibrational configuration interaction (VCI) method together with the semiclassical instanton theory was developed to study vibrational tunneling spectra of…

Chemical Physics · Physics 2022-02-07 Mihael Eraković , Marko T. Cvitaš

The resonant transmission of a moving particle which interacts with an one-dimensional array of N delta-function potentials is investigated. A suitable transfer matrix formulation is used to obtain the particle transmission. We give the…

Quantum Physics · Physics 2014-02-05 Guillermo Cordourier-Maruri , Virendra Gupta , Romeo de Coss

Tunneling between a point contact and a one-dimensional wire is usually described with the help of a tunneling Hamiltonian that contains a delta function in position space. Whereas the leading order contribution to the tunneling current is…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Michele Filippone , Piet Brouwer

The electron motion along a chain is described by a continuum version of the Su-Schrieffer-Heeger Hamiltonian in which phonon fields and electronic coordinates are mapped onto the time scale. The path integral formalism allows us to derive…

Soft Condensed Matter · Physics 2009-11-10 Marco Zoli

We study the quantum tunnelling of a very complex object of which only part is coupled to an external potential ( the potential barrier ). We treat this problem as the tunnelling of a particle (part of the system affected by the potential)…

Condensed Matter · Physics 2008-02-03 A. H. Castro Neto , A. O. Caldeira

We extend our previous symmetrized path-integral molecular dynamics approach to calculate tunneling splittings of molecules in rotationally excited states. In this new formalism, the system is rigorously projected onto selected rotational…

Chemical Physics · Physics 2026-04-15 Lea Zupan , Yu-Chen Wang , Jeremy O. Richardson

The manner in which probability amplitudes of paths sum up to form wave functions of a harmonic oscillator, as well as other, simple 1-dimensional problems, is described. Using known, closed-form, path-based propagators for each problem, an…

Quantum Physics · Physics 2025-11-18 Randall M. Feenstra

Sequential tunneling model is used to study electron transport in molecular rectifiers based on structures of donor-bridge-acceptor type. The device is made of two metallic electrodes connected by a molecule, which contains acceptor and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak

An application of impedance measurement technique (IMT) for a detection of quantum tunneling in molecular structures is investigated. A charged particle which tunnels in a two-well potential is electrically coupled to a high-quality…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Anatoly Yu. Smirnov
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