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We report the splitting of an oscillating DNA circuit into $\sim 700$ droplets with picoliter volumes. Upon incubation at constant temperature, the droplets display sustained oscillations that can be observed for more than a day.…

We investigate the two-point correlations in the band spectra of spatially periodic systems that exhibit chaotic diffusion in the classical limit. By including level pairs pertaining to non-identical quasimomenta, we define form factors…

chao-dyn · Physics 2009-10-30 T. Dittrich , B. Mehlig , H. Schanz , U. Smilansky

We consider a modification of isospectral cavities whereby the classical dynamics changes from pseudointegrable to chaotic. We construct an example where we can prove that isospectrality is retained. We then demonstrate this explicitly in…

Chaotic Dynamics · Physics 2009-11-10 Abhishek Dhar , D. Madhusudana Rao , N. Udaya Shankar , S. Sridhar

A new manifestation of interlayer coherence in strongly polarized double layer quantum Hall systems with total filling factor $\nu=1$ in the presence of a small or zero tunneling is theoretically predicted. It is shown that moving (for…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 R. Khomeriki , M. Abolfath , K. Mullen

Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic metallic tunnel junctions with high charging energies. If the resistance of the barriers is large compared to the quantum resistance, transport can be described…

Condensed Matter · Physics 2009-10-22 Herbert Schoeller , Gerd Schoen

We present new results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field. We construct a family of double well potentials containing examples for which the low-energy eigenvalue splitting…

Mathematical Physics · Physics 2025-01-03 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

We study the probability distribution of a current flowing through a diffusive system connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a host of possible phase transitions both in and out of…

Statistical Mechanics · Physics 2017-01-25 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

We investigate the effect of a quantised vibrational mode on electron tunneling through a chain of three quantum dots. The outer dots are coupled to voltage leads, but the position of the central dot is not rigidly fixed. Motion of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. D. Armour , A. MacKinnon

In the present note, we uncover a remarkable connection between the length of periodic orbit of a classical particle enclosed in a class of 2-dimensional planar billiards and the energy of a quantum particle confined to move in an identical…

Quantum Physics · Physics 2018-08-15 Subhasis Panda , Sabyasachi Maulik , Somdeb Chakraborty , S. Pratik Khastgir

The influence of quantum fluctuations on electron transport through small metallic islands with Coulomb blockade effects is studied beyond the perturbative regime. In tunnel junctions with low resistance higher order coherent processes and…

Condensed Matter · Physics 2016-08-31 Jürgen König , Herbert Schoeller , Gerd Schön

Light propagation on a two-dimensional curved surface embedded in a three-dimensional space has attracted increasing attention as an analog model of four-dimensional curved spacetime in laboratory. Despite recent developments in modern…

Chaotic Dynamics · Physics 2021-07-09 Chenni Xu , Itzhack Dana , Li-Gang Wang , Patrick Sebbah

We devise a scheme to characterize tunneling of an excess electron shared by a pair of tunnel-coupled dangling bonds on a silicon surface -- effectively a two-level system. Theoretical estimates show that the tunneling should be highly…

Mesoscale and Nanoscale Physics · Physics 2014-02-05 Zahra Shaterzadeh-Yazdi , Lucian Livadaru , Marco Taucer , Josh Mutus , Jason Pitters , Robert A. Wolkow , Barry C. Sanders

Pendulum-like dynamics is a universal motif across many areas of physics, underlying systems ranging from classical nonlinear oscillators to superconducting qubits and cold-atom tunneling platforms. Here we present an exact frequency-domain…

Classical Physics · Physics 2026-03-12 Teepanis Chachiyo

The proximity effect between a superconductor and a highly diffusive two-dimensional metal was revealed in a Scanning Tunneling Spectroscopy experiment. The in-situ elaborated samples consisted of superconducting single crystalline Pb…

The isolation of energetically persistent scattering pathways from the resonant manifold of an open electron billiard in the deep quantum regime is demonstrated. This enables efficient conductance switching at varying temperature and Fermi…

Mesoscale and Nanoscale Physics · Physics 2014-09-16 Christian Morfonios , Peter Schmelcher

A single electron shared between two levels threaded by a magnetic flux is an irreducibly simple quantum system in which interference is predicted to occur. We demonstrate tuning of the tunnel coupling between two such electronic levels…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Christian G. Prosko , Ivan Kulesh , Michael Chan , Lin Han , Di Xiao , Candice Thomas , Michael J. Manfra , Srijit Goswami , Filip K. Malinowski

Dynamical properties of a few ultra-cold fermions confined in a double-well potential is studied. We show that the dynamics, which is governed by single-particle tunnelings for vanishing interactions, is completely different for strong…

Quantum Gases · Physics 2016-03-24 Tomasz Sowiński , Mariusz Gajda , Kazimierz Rzążewski

We study the interplay between coherent transport by tunneling and diffusive transport through classically chaotic phase-space regions, as it is reflected in the Floquet spectrum of the periodically driven quartic double well. The tunnel…

chao-dyn · Physics 2009-10-22 R. Utermann , T. Dittrich , P. Hanggi

The spectral functions of the pseudospin correlation functions in the bilayer quantum Hall system at \nu=1 are investigated numerically, where the pseudospin describes the layer degrees of freedom. In the pseudospin-ferromagnetic phase, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Tatsuya Nakajima

An exact solution is presented for tunneling through a negative-U d-fold degenerate molecular quantum dot weakly coupled to electrical leads. The tunnel current exhibits hysteresis if the level degeneracy of the negative-U dot is larger…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. S. Alexandrov , A. M. Bratkovsky , R. S. Williams
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