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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

Metastability in open system dynamics describes the phenomena of initial relaxation to longlived metastable states before decaying to the asymptotic stable states. It has been predicted in continuous-time stochastic dynamics of both…

Quantum Physics · Physics 2024-04-10 Yuan-De Jin , Chu-Dan Qiu , Wen-Long Ma

The decay of metastable states is dominated by quantum tunneling at low temperatures and by thermal activation at high temperatures. The escape rate of a particle out of a square well is calculated within a semi-classical approximation and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Denis A. Gorokhov , Rava A. da Silveira

The problem of inter-band tunneling in a semiconductor (Zener breakdown) in a nonstationary and homogeneous electric field is solved exactly. Using the exact analytical solution, the approximation based on classical trajectories is studied.…

Quantum Physics · Physics 2007-05-23 Boris Ivlev

It is well-known that increasing the nonlinearity due to repulsive atomic interactions in a double-well Bose-Einstein condensate suppresses quantum tunnelling between the two sites. Here we find analogous behaviour in the dynamical…

Quantum Physics · Physics 2015-03-19 Sebastian Wüster , Beata J. Dabrowska-Wüster , Matthew J. Davis

Recent experiments on macroscopic quantum tunneling reveal a non-exponential decay of the number of atoms trapped in a quasibound state behind a potential barrier. Through both experiment and theory, we demonstrate this non-exponential…

We study the dynamics of a quantum particle in a constricted two-dimensional channel and analyze how the onset of quantum corrections impacts the (semi-)classical high-temperature behaviour, as temperature is lowered. We characterize both…

Quantum Physics · Physics 2025-05-08 Paolo Malgaretti , Francesco Petiziol , Alexander Schnell

Quantum computers are the promising candidates for simulation of large quantum systems, which is a daunting task to perform in a classical computer. Here, we report the experimental realization of quantum tunneling of a single particle…

Quantum tunneling is a fundamental quantum mechanical effect involved in plenty of physical phenomena. Its control would impact these phenomena and the technologies based on them. We show that the quantum tunneling probability through a…

Quantum Physics · Physics 2022-08-17 Miguel A. Porras , Nilo Mata , Isabel Gonzalo

Quantum tunneling in the presence of chaos is analyzed, focusing especially on the interplay between quantum tunneling and dynamical localization. We observed flooding of potentially existing tunneling amplitude by adding noise to the…

Chaotic Dynamics · Physics 2009-10-09 Akiyuki Ishikawa , Atushi Tanaka , Akira Shudo

A current can be induced in a closed device by changing control parameters. The amount $Q$ of particles that are transported via a path of motion, is characterized by its expectation value $<Q>$, and by its variance $Var(Q)$. We show that…

Quantum Physics · Physics 2010-01-18 Maya Chuchem , Doron Cohen

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

Tunneling is a fascinating aspect of quantum mechanics that renders the local minima of a potential meta-stable, with important consequences for particle physics, for the early hot stage of the universe, and more speculatively, for the…

High Energy Physics - Theory · Physics 2017-10-04 Mariana Carrillo Gonzalez , Ali Masoumi , Adam R. Solomon , Mark Trodden

We describe the crossover from generalized hydrodynamics to conventional hydrodynamics in nearly integrable systems. Integrable systems have infinitely many conserved quantities, which spread ballistically in general. When integrability is…

Statistical Mechanics · Physics 2020-05-13 Aaron J. Friedman , Sarang Gopalakrishnan , Romain Vasseur

In superconducting qubits the lifetime of quantum states cannot be prolonged arbitrarily by decreasing temperature. At low temperature quasiparticles tunneling between electromagnetic environment and superconducting islands takes the…

Mesoscale and Nanoscale Physics · Physics 2015-02-10 Mohammad H. Ansari

Trace decreasing quantum operations naturally emerge in experiments involving postselection. However, the experiments usually focus on dynamics of the conditional output states as if the dynamics were trace preserving. Here we show that…

Quantum Physics · Physics 2022-10-05 Sergey N. Filippov

The motion of charged particles in a crystal in the axial channeling regime can be both regular and chaotic. The chaos in quantum case manifests itself in the statistical properties of the energy levels set. These properties have been…

Accelerator Physics · Physics 2024-05-28 V. V. Syshchenko , A. I. Tarnovsky , V. I. Dronik , A. Yu. Isupov

We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit. The model of the quantized hyperbolic automorphisms of the 2-torus is examined in detail…

Mathematical Physics · Physics 2007-12-13 Valerio Cappellini

We present fresh evidence for the presence of discrete quantum time crystals in two spatial dimensions. Discrete time crystals are intricate quantum systems that break discrete time translation symmetry in driven quantum many-body systems…

Quantum Physics · Physics 2021-06-16 A. Kshetrimayum , M. Goihl , D. M. Kennes , J. Eisert

Recent experimental tests of Bell inequalities confirm that entangled quantum systems cannot be described by local classical theories but still do not answer the question whether or not quantum systems could in principle be modelled by…

Quantum Physics · Physics 2024-03-07 Kawthar Al Rasbi , Lewis A. Clark , Almut Beige