Quantum chaos in one dimension?
نویسندگان
چکیده
منابع مشابه
Quantum Integrable Systems in One Dimension
The field of integrable systems is a vast one that has grown almost explosively in recent years. It is not remotely possible to review all the developments in the field in one hour, so I am restricting my attention to some particular topics. I shall only consider one dimensional quantum systems, or 1+1 as it is usually said, including the time dimension, but necessarily therefore including some...
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Abstract. This letter treats the quantum random walk on the line determined by a 2 × 2 unitary matrix U . A combinatorial expression for the mth moment of the quantum random walk is presented by using 4 matrices, P,Q,R and S given by U . The dependence of the mth moment on U and initial qubit state φ is clarified. A new type of limit theorems for the quantum walk is given. Furthermore necessary...
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Advection-dispersion equation is solved in numerically by using combinations of differential quadrature method (DQM) and various time integration techniques covering some explicit or implicit single and multi step methods. Two different initial boundary value problems modeling conservative and nonconservative transports of some substance represented by initial data are chosen as test problems. ...
متن کاملChaos in a One-dimensional Integrable Quantum System
We study a simple one-dimensional quantum system on a circle with n scale free point interactions. The spectrum of this system is discrete and expressible as a solution of an explicit secular equation. However, its statistical properties are nontrivial. The level spacing distribution between its neighboring odd and even levels displays a surprising agreement with the prediction obtained for the...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.84.016230