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Quantum tunneling is the phenomenon that makes superconducting circuits "quantum". Recently, there has been a renewed interest in using quantum tunneling in phase space of a Kerr parametric oscillator as a resource for quantum information…

A parametrically modulated oscillator has two opposite-phase vibrational states at half the modulation frequency. An extra force at the vibration frequency breaks the symmetry of the states. The effect can be extremely strong due to the…

Statistical Mechanics · Physics 2024-08-19 D. K. J. Boneß , W. Belzig , M. I. Dykman

The evolution of the quantum wave packet describing an atom trapped in the surface-tip junction of the scanning tunneling microscope is investigated by using the time-dependent Schroedinger equation, and by a quasi-classical Hamiltonian…

Quantum Physics · Physics 2008-02-21 M. Grigorescu

We describe a new mechanism of tunneling between period-two vibrational states of a weakly nonlinear parametrically modulated oscillator. The tunneling results from resonant transitions induced by the fast oscillating terms conventionally…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 V. Peano , M. Marthaler , M. I. Dykman

The tunneling splitting in biaxial ferrimagnetic particles at excited states with an explicit calculation of the prefactor of exponent is obtained in terms of periodic instantons which are responsible for tunneling at excited states and is…

Condensed Matter · Physics 2019-08-17 Yi-Hang Nie , Yan-Hong Jin , J. -Q Liang , F. -C Pu

Electron tunneling between quantum Hall systems on the same two dimensional plane separated by a narrow barrier is studied. We show that in the limit where inelastic scattering time is much longer than the tunneling time, which can be…

Condensed Matter · Physics 2009-10-22 Tin-Lun Ho

We consider the resonant tunneling through a multi-level system. It is demonstrated that the resonant current displays quantum interference effects due to a possibility of tunneling through different levels. We show that the interference…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. A. Gurvitz

We present an exact analytic study on the topological phase interference effect in resonant quantum tunneling of the magnetization between degenerate excited levels for biaxial ferromagnets in an arbitrarily directed magnetic field. We show…

Statistical Mechanics · Physics 2015-06-24 Rong Lu , Jia-Lin Zhu , Yi Zhou , Bing-Lin Gu

Quantum tunneling through a two-dimensional static barrier becomes unusual when a momentum of an electron has a tangent component with respect to a border of the prebarrier region. If the barrier is not homogeneous in the direction…

Quantum Physics · Physics 2009-11-03 B. Ivlev

Time evolution of quantum tunneling is studied when the tunneling system is immersed in thermal medium. We analyze in detail the behavior of the system after integrating out the environment. Exact result for the inverted harmonic oscillator…

High Energy Physics - Phenomenology · Physics 2009-02-05 Sh. Matsumoto , M. Yoshimura

The tunnel splitting in biaxial antiferromagnetic particles is studied with a magnetic field applied along the hard anisotropy axis. We observe the oscillation of tunnel splitting as a function of the magnetic field due to the quantum phase…

Condensed Matter · Physics 2019-08-17 Yi-Hang Nie , Yan-Hong Jin , J. -Q. Liang , H. J. W. Müller-Kirsten , D. K. Park , F. -C. Pu

The quantum interference effects induced by the topological phase are studied analytically in biaxial antiferromagnets with an external magnetic field at an arbitrarily angle. This study provides a nontrivial generalization of the Kramers…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rong Lu , Hui Pan , Jia-Lin Zhu , Bing-Lin Gu

Parametric oscillators are examples of externally driven systems that can exhibit two stable states with opposite phase depending on the initial conditions. In this work, we propose to study what happens when the external forcing is…

Pattern Formation and Solitons · Physics 2024-02-13 Benjamin Apffel , Romain Fleury

In this paper, I present a mapping between representation of some quantum phenomena in one dimension and behavior of a classical time-dependent harmonic oscillator. For the first time, it is demonstrated that quantum tunneling can be…

Quantum Physics · Physics 2011-05-24 Alexander Davydov

We show that quantum-interference phenomena can be realized for the dissipative nonlinear systems exhibiting hysteresis-cycle behavior and quantum chaos. Such results are obtained for a driven dissipative nonlinear oscillator with…

Quantum Physics · Physics 2015-05-19 T. V. Gevorgyan , A. R. Shahinyan , G. Yu. Kryuchkyan

Due to a transient quantum interference during a wavepacket collision with a potential barrier, a particular momentum, that depends on the potential parameters but is close to the initial average momentum, becomes suppressed. The hole left…

Quantum Physics · Physics 2009-11-06 A. L. Perez Prieto , S. Brouard , J. G. Muga

Among the many perplexing results of quantum mechanics is one that contradicts a result from introductory physics: the possibility of finding a quantum particle in a region that would be forbidden classically by energy conservation. An…

Popular Physics · Physics 2025-01-09 Dennis E. Krause , Nikolai Jones

In quantum Hall systems with two narrow constrictions, tunneling between opposite edges can give rise to quantum interference and Aharonov-Bohm-like oscillations of the conductance. When there is an integer quantized Hall state within the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 B. Rosenow , B. I. Halperin

Some of the most enduring questions in physics--including the quantum measurement problem and the quantization of gravity--involve the interaction of a quantum system with a classical environment. Two linearly coupled harmonic oscillators…

Quantum Physics · Physics 2007-05-23 Rachael M. McDermott , Ian H. Redmount

We present a comprehensive theory of resonance-assisted tunneling in quantum systems that exhibit a mixed regular-chaotic classical phase space structure. After general considerations, we specifically focus on quantum systems with one…

Chaotic Dynamics · Physics 2011-05-27 Peter Schlagheck , Amaury Mouchet , Denis Ullmo
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