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In this paper we propose a self--consistent approach to the description of temporal dynamics of localized states. This approach is based on exactly solvable quantum mechanical models with multi-well potentials and their propagators. States…

High Energy Physics - Theory · Physics 2015-05-28 V. P. Berezovoj , M. I. Konchatnij

Using the supersymmetry technique, we study the localization-delocalization transition in quasi-one-dimensional non-Hermitian systems with a direction. In contrast to chains, our model captures the diffusive character of carriers' motion at…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. V. Kolesnikov , K. B. Efetov

We show that the localization transition in the integer quantum Hall effect as described by the Chalker-Coddington network model is quantum critical. We first map the anisotropic network model to the problem of diagonalizing a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. B. Marston , Shan-Wen Tsai

We study the ground state of a large bosonic system trapped in a symmetric double-well potential, letting the distance between the two wells increase to infinity with the number of particles. In this context, one should expect an…

Mathematical Physics · Physics 2018-03-14 Nicolas Rougerie , Dominique Spehner

A standard approach to analyzing tunneling processes in various physical contexts is to use instanton or imaginary time path techniques. For systems in which the tunneling takes place in a time dependent setting, the standard methods are…

High Energy Physics - Theory · Physics 2009-10-30 Esko Keski-Vakkuri , Per Kraus

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We study the dynamics of a quantum particle coupled to dissipative (ohmic) environments, such as an electron liquid. For some choices of couplings, the properties of the particle can be described in terms of an effective mass. A particular…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Guinea

Optimizing the probability of quantum tunneling between two states, while keeping the resources of the underlying physical system constant, is a task of key importance due to its critical role in various applications. We show that, by…

We consider statistics of electronic transport in chaotic cavities where time-reversal symmetry is broken and one of the leads is weakly non-ideal, i.e. it contains tunnel barriers characterized by tunneling probabilities $\Gamma_i$. Using…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Sergio Rodriguez-Perez , Ricardo Marino , Marcel Novaes , Pierpaolo Vivo

In this work we investigate the effects of the electron-electron interaction between a molecular junction and the metallic leads in time-dependent quantum transport. We employ the recently developed embedded Kadanoff-Baym method [Phys. Rev.…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 P. Myöhänen , R. Tuovinen , T. Korhonen , G. Stefanucci , R. van Leeuwen

We show that massive low energy particles traversing a branching zone or a crossing of quantum waveguides may experience a non standard trapping force that cannot be derived from a potential. For interacting cold Bose atoms we report on the…

Quantum Gases · Physics 2014-01-29 A. Markowsky , N. Schopohl

The mechanism of coherent destruction of tunneling found by Grossmann et al. [Phys. Rev. Lett. 67, 516 (1991)] is studied from the viewpoint of quantum optics by considering the photon statistics of a single mode cavity field which is…

Condensed Matter · Physics 2016-08-31 Peter Neu , Robert J. Silbey

We study ground-state quantum entanglement in the one-dimensional Bose-Hubbard model in the presence of a harmonic trap. We focus on two transitions that occur upon increasing the characteristic particle density: the formation of a…

Statistical Mechanics · Physics 2019-12-20 Yicheng Zhang , Lev Vidmar , Marcos Rigol

We study the hopping transport of a quantum particle through finite, randomly diluted percolation clusters in two dimensions. We investigate how the transmission coefficient T behaves as a function of the energy E of the particle, the…

Statistical Mechanics · Physics 2007-05-23 E. Cuansing , H. Nakanishi

Our theoretical examination of second and third harmonic generation from metal-based nanostructures predicts that nonlocal and quantum tunneling phenomena can significantly exceed expectations based solely on local, classical…

We look at the equilibrium of a Brownian particle in an inhomogeneous space following the alternative approach proposed in ref.[1]. We consider a coordinate dependent damping that makes the stochastic dynamics the one with multiplicative…

Statistical Mechanics · Physics 2014-10-07 Avik Biswas , A. Bhattacharyay

We follow the emergence of quantum entanglement in a scattering event between two initially uncorrelated distinguishable quantum particles interacting via a delta potential. We calculate the time dependence of the Neumann entropy of the…

Quantum Physics · Physics 2015-05-30 Mihaly G. Benedict , Judit Kovacs , Attila Czirjak

Quantum tunneling is a quantum phenomenon in which a microscopic object crosses through a potential barrier even if its energy cannot overcome the barrier. A general belief is that tunneling occurs only when the barrier width is comparable…

Quantum Physics · Physics 2025-01-07 Yuan-Xing Yang , Si-Yuan Bai , Jun-Hong An

Transport measurements on two dimensional electron systems in moderate magnetic fields suggest the existence of a spontaneously orientationally-ordered, compressible liquid state. We develop and analyze a microscopic theory of such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Leo Radzihovsky , Alan T. Dorsey

We unravel the existence and nonequilibrium response of one-dimensional harmonically trapped droplet configurations in the presence of a central potential barrier or well. For fixed negative chemical potentials, it is shown that droplets…

Quantum Gases · Physics 2025-11-26 F. Bristy , G. A. Bougas , G. C. Katsimiga , S. I. Mistakidis