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We study the quantum behaviour of chaotic billiards which exhibit classically diffusive behaviour. In particular we consider the stadium billiard and discuss how the interplay between quantum localization and the rich structure of the…

Condensed Matter · Physics 2009-10-31 Giulio Casati , Tomaz Prosen

We review recent research on the transport properties of classical waves through chaotic systems with special emphasis on microwaves and sound waves. Inasmuch as these experiments use antennas or transducers to couple waves into or out of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 U. Kuhl , H. -J. Stoeckmann , R. Weaver

We investigate the scattering of elastic waves off a disordered region described by a one-dimensional random-phase sine-Gordon model. The collective pinning results in an effective static disorder potential with universal and non-Gaussian…

Disordered Systems and Neural Networks · Physics 2021-07-01 Tsuyoshi Yamamoto , Leonid I. Glazman , Manuel Houzet

The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a large number of the equidistant energy levels of electronic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. G. Lang , L. I. Korovin , D. A. Contreras-Solorio , S. T. Pavlov

In the data of the ether-drift experiments there might be sizable fluctuations superposed on the smooth sinusoidal modulations due to the Earth's rotation and orbital revolution. These fluctuations might reflect the stochastic nature of the…

General Physics · Physics 2009-05-13 M. Consoli , L. Pappalardo

Random fluctuations caused by environmental noise can lead to decoherence in quantum systems. Exploring and controlling such dissipative processes is both fundamentally intriguing and essential for harnessing quantum systems to gain…

We present an extensive numerical study of spectral statistics and eigenfunctions of quantized triangular billiards. We compute two million consecutive eigenvalues for six representative cases of triangular billiards, three with generic…

Chaotic Dynamics · Physics 2022-01-25 Črt Lozej , Giulio Casati , Tomaž Prosen

In this paper we develop the topics of Quantum Recurrences and of Quantum Fidelity which have attracted great interest in recent years. The return probability is given by the square modulus of the overlap between a given initial wavepacket…

Mathematical Physics · Physics 2009-11-10 Monique Combescure

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

Wavefunctions in chaotic and disordered quantum billiards are studied experimentally using thin microwave cavities. The chaotic wavefunctions display universal density distributions and density auto-correlations in agreement with…

chao-dyn · Physics 2016-08-31 A. Kudrolli , V. Kidambi , S. Sridhar

Accessing the connection between classical chaos and quantum many-body systems has been a long-standing experimental challenge. Here, we investigate the onset of chaos in periodically driven two-component Bose-Einstein condensates, whose…

Quantum Physics · Physics 2015-09-08 J. Tomkovič , W. Muessel , H. Strobel , S. Löck , P. Schlagheck , R. Ketzmerick , M. K. Oberthaler

We have observed coherent time evolution between two quantum states of a superconducting flux qubit comprising three Josephson junctions in a loop. The superposition of the two states carrying opposite macroscopic persistent currents is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Chiorescu , Y. Nakamura , C. J. P. M. Harmans , J. E. Mooij

The eigenstates of a chaotic system can be enhanced along underlying unstable periodic orbits in so-called quantum scars, making it more likely for a particle launched along one such orbits to be found still there at long times. Unstable…

Quantum Physics · Physics 2025-04-09 Andrea Pizzi

We discuss the impact of recent developments in the theory of chaotic dynamical systems, particularly the results of Sinai and Ruelle, on microwave experiments designed to study quantum chaos. The properties of closed Sinai billiard…

Chaotic Dynamics · Physics 2007-05-23 S. Sridhar , W. T. Lu

We have observed coherent time evolution of states in a multi-level quantum system, formed by a current-biased dc SQUID. The manipulation of the quantum states is achieved by resonant microwave pulses of flux. The number of quantum states…

Superconductivity · Physics 2009-11-10 J. Claudon , F. Balestro , F. W. J. Hekking , O. Buisson

The coherent electronic transport phenomena through quantum devices is difficult to observe due to thermal smearing and dephasing, the latter induced by inelastic scattering by phonons or impurities. In other wave systems, the temperature…

The close theoretical analogy between the physics of rapidly rotating atomic Bose condensates and the quantum Hall effect (i.e., a two dimensional electron gas in a strong magnetic field) was first pointed out ten years ago. As a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Susanne Viefers

Bloch-like surface waves associated with a quasiperiodic structure are observed for the first time in a classic wave propagation experiment which consists of pulse propagation with a shallow fluid covering a quasiperiodically drilled…

Materials Science · Physics 2021-11-05 M. Torres , J. L. Aragon , Juan P. Adrados , P. Cobo , S. Tehuacanero

We experimentally studied evolution of quasi-eigenmodes as classical dynamics undergoing a transition from being regular to chaotic in open quantum billiards. In a deformation-variable microcavity we traced all high-Q cavity modes in a wide…

Two superconducting microwave billiards have been electromagnetically coupled in a variable way. The spectrum of the entire system has been measured and the spectral statistics analyzed as a function of the coupling strength. It is shown…