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We numerically study the measurement-driven quantum phase transition of Haar-random quantum circuits in $1+1$ dimensions. By analyzing the tripartite mutual information we are able to make a precise estimate of the critical measurement rate…

Disordered Systems and Neural Networks · Physics 2020-02-26 Aidan Zabalo , Michael J. Gullans , Justin H. Wilson , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

We study the transition probability and coherence of a two-site system, interacting with an oscillator. Both properties depend on the initial preparation. The oscillator is prepared in a thermal state and, even though it cannot be…

Other Condensed Matter · Physics 2009-11-13 Simone Paganelli , Sergio Ciuchi

Recurrent representations for an electron transmission and reflection amplitudes for a one-dimensional chain are obtained. The linear differential equations for scattering amplitudes of an arbitrary potential are found.

Condensed Matter · Physics 2009-10-31 David M. Sedrakian , Ashot Zh. Khachatrian

The present paper is devoted to the study of resonances for one-dimensional quantum systems with a potential that is the restriction to some large box of an ergodic potential. For discrete models both on a half-line and on the whole line,…

Mathematical Physics · Physics 2016-06-22 Frédéric Klopp

Quantum theory is proposed of high energy electrons scattering in ultrathin crystals. This theory is based upon a special representation of the scattering amplitude in the form of the integral over the surface surrounding the crystal, and…

Accelerator Physics · Physics 2017-03-29 N. F. Shul'ga , S. N. Shulga

Quantum transmissions of a free particle passing through a rectangular potential barrier with dissipation are studied using a path decomposition technique. Dissipative processes strongly suppress the transmission probability at resonance…

Quantum Physics · Physics 2007-08-27 Kohkichi Konno , Munehiro Nishida , Satoshi Tanda , Noriyuki Hatakenaka

The quantum field theoretical treatment of neutrino oscillations is formulated. The procedure how to calculate the transition probability of one type neutrino into another is briefly outlined.

High Energy Physics - Phenomenology · Physics 2007-05-23 Viliam Pazma , Julius Vanko , Juraj Chovan

Quantum oscillations amplitude of multiband metals, such as high T c superconductors in the normal state, heavy fermions or organic conductors are generally determined through Fourier analysis of the data even though the oscillatory part of…

Strongly Correlated Electrons · Physics 2018-12-05 Alain Audouard , Jean-Yves Fortin

The work examines the effect of multiple photon emission on the quantum mechanical state of an electron emitting synchrotron radiation and on the intensity of that radiation. Calculations are done with the variant of perturbation theory…

Quantum Physics · Physics 2015-06-26 G. M. Filippov

The general relationship between an arbitrary frequency distribution and the expectation value of the frequency distributions of its samples is esablished. A set of combinations of expectation values whose value does not in general depend…

Data Analysis, Statistics and Probability · Physics 2012-10-05 Paolo Rossi

The evaluation of loop amplitudes via differential equations and harmonic polylogarithms is discussed at an introductory level. The method is based on evolution equations in the masses or in the external kinematical invariants and on a…

High Energy Physics - Phenomenology · Physics 2007-05-23 U. Aglietti

Transient tunneling effects in triple barrier systems are investigated by considering a time-dependent solution to the Schr\"{o}dinger equation with a cutoff wave initial condition. We derive a two-level formula for incidence energies $E$…

Quantum Physics · Physics 2009-11-07 Roberto Romo , Jorge Villavicencio , Gaston Garcia-Calderon

An analytical solution for a quantum wave impedance in a case of piesewise constant potential was derived. It is in fact an analytical depiction of a well-known iterative method of a quantum wave impedance determination. The expression for…

Quantum Physics · Physics 2020-10-21 O. I. Hryhorchak

The relation between the expectation values computed in the random walk theory, and the heat kernel method for the diffusion equation is explained concretely. The random walk is also realized by simulations and their statistical…

Statistical Mechanics · Physics 2024-05-21 Kenichiro Aoki , Takahisa Mitsui

We present a time dependent quantum calculation of the scattering of a few-photon pulse on a single atom. The photon wave packet is assumed to propagate in a transversely strongly confined geometry, which ensures strong atom-light coupling…

Quantum Physics · Physics 2009-11-07 Peter Domokos , Peter Horak , Helmut Ritsch

Time-resolved electron dynamics in coupled quantum dots is directly observed by a pulsed-gate technique. While individual gate voltages are modulated with periodic pulse trains, average charge occupations are measured with a nearby quantum…

Mesoscale and Nanoscale Physics · Physics 2010-11-12 D. Harbusch , S. Manus , H. P. Tranitz , W. Wegscheider , S. Ludwig

We study the consequence of the frequency errors of individual oscillators on the scalability of quantum computing based on nanomechanical resonators. We show the fidelity change of the quantum operation due to the frequency shifts…

Quantum Physics · Physics 2011-06-14 Li-gong Zhou , Ming Gao , Jin-Lin Peng , Xiang-bin Wang

The quantum measurement process by a single-electron transistor or a quantum point contact coupled to a quantum bit is studied. We find a unified description of the statistics of the monitored quantity, the current, in the regime of strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Gerd Schoen , Alexander Shnirman

We use the relativistic Hartree-Fock method, many-body perturbation theory and configuration-interaction method to calculate the dependence of atomic transition frequencies on the fine structure constant, alpha. The results of these…

Atomic Physics · Physics 2008-11-26 J. C. Berengut , V. A. Dzuba , V. V. Flambaum , M. V. Marchenko

This paper introduces "time-dependent basis light-front quantization", which is a covariant, nonperturbative, and first principles numerical approach to time-dependent problems in quantum field theory. We demonstrate this approach by…

Nuclear Theory · Physics 2013-11-15 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary