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Title: Landau-Zener extension of the Tavis-Cummings model: Structure of the solution

Abstract

We explore the recently discovered solution of the driven Tavis-Cummings model (DTCM). It describes interaction of an arbitrary number of two-level systems with a bosonic mode that has linearly time-dependent frequency. We derive compact and tractable expressions for transition probabilities in terms of the well-known special functions. In this form, our formulas are suitable for fast numerical calculations and analytical approximations. As an application, we obtain the semiclassical limit of the exact solution and compare it to prior approximations. Furthermore, we also reveal connection between DTCM and q-deformed binomial statistics.

Authors:
 [1];  [2]
  1. Texas A & M Univ., College Station, TX (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1344360
Alternate Identifier(s):
OSTI ID: 1321041
Report Number(s):
LA-UR-16-24486
Journal ID: ISSN 2469-9926; PLRAAN; TRN: US1701659
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 94; Journal Issue: 3; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; Feshbach Resonance

Citation Formats

Sun, Chen, and Sinitsyn, Nikolai A. Landau-Zener extension of the Tavis-Cummings model: Structure of the solution. United States: N. p., 2016. Web. doi:10.1103/PhysRevA.94.033808.
Sun, Chen, & Sinitsyn, Nikolai A. Landau-Zener extension of the Tavis-Cummings model: Structure of the solution. United States. doi:10.1103/PhysRevA.94.033808.
Sun, Chen, and Sinitsyn, Nikolai A. Wed . "Landau-Zener extension of the Tavis-Cummings model: Structure of the solution". United States. doi:10.1103/PhysRevA.94.033808. https://www.osti.gov/servlets/purl/1344360.
@article{osti_1344360,
title = {Landau-Zener extension of the Tavis-Cummings model: Structure of the solution},
author = {Sun, Chen and Sinitsyn, Nikolai A.},
abstractNote = {We explore the recently discovered solution of the driven Tavis-Cummings model (DTCM). It describes interaction of an arbitrary number of two-level systems with a bosonic mode that has linearly time-dependent frequency. We derive compact and tractable expressions for transition probabilities in terms of the well-known special functions. In this form, our formulas are suitable for fast numerical calculations and analytical approximations. As an application, we obtain the semiclassical limit of the exact solution and compare it to prior approximations. Furthermore, we also reveal connection between DTCM and q-deformed binomial statistics.},
doi = {10.1103/PhysRevA.94.033808},
journal = {Physical Review A},
number = 3,
volume = 94,
place = {United States},
year = {Wed Sep 07 00:00:00 EDT 2016},
month = {Wed Sep 07 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
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