skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Solvable multistate model of Landau-Zener transitions in cavity QED

Abstract

We consider the model of a single optical cavity mode interacting with two-level systems (spins) driven by a linearly time-dependent field. When this field passes through values at which spin energy level splittings become comparable to spin coupling to the optical mode, a cascade of Landau-Zener (LZ) transitions leads to co-flips of spins in exchange for photons of the cavity. We derive exact transition probabilities between different diabatic states induced by such a sweep of the field.

Authors:
 [1];  [1]
  1. 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:
1338764
Alternate Identifier(s):
OSTI ID: 1259902
Report Number(s):
LA-UR-16-20731
Journal ID: ISSN 2469-9926; TRN: US1701815
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 93; Journal Issue: 6; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Atomic and Nuclear Physics; Material Science; quantum integrability; cavity-QED; Landau-Zener

Citation Formats

Sinitsyn, Nikolai, and Li, Fuxiang. Solvable multistate model of Landau-Zener transitions in cavity QED. United States: N. p., 2016. Web. doi:10.1103/PhysRevA.93.063859.
Sinitsyn, Nikolai, & Li, Fuxiang. Solvable multistate model of Landau-Zener transitions in cavity QED. United States. https://doi.org/10.1103/PhysRevA.93.063859
Sinitsyn, Nikolai, and Li, Fuxiang. 2016. "Solvable multistate model of Landau-Zener transitions in cavity QED". United States. https://doi.org/10.1103/PhysRevA.93.063859. https://www.osti.gov/servlets/purl/1338764.
@article{osti_1338764,
title = {Solvable multistate model of Landau-Zener transitions in cavity QED},
author = {Sinitsyn, Nikolai and Li, Fuxiang},
abstractNote = {We consider the model of a single optical cavity mode interacting with two-level systems (spins) driven by a linearly time-dependent field. When this field passes through values at which spin energy level splittings become comparable to spin coupling to the optical mode, a cascade of Landau-Zener (LZ) transitions leads to co-flips of spins in exchange for photons of the cavity. We derive exact transition probabilities between different diabatic states induced by such a sweep of the field.},
doi = {10.1103/PhysRevA.93.063859},
url = {https://www.osti.gov/biblio/1338764}, journal = {Physical Review A},
issn = {2469-9926},
number = 6,
volume = 93,
place = {United States},
year = {Wed Jun 29 00:00:00 EDT 2016},
month = {Wed Jun 29 00:00:00 EDT 2016}
}

Journal Article:

Citation Metrics:
Cited by: 30 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Interplay of charge and spin coherence in Landau-Zener-Stückelberg-Majorana interferometry
journal, June 2013


Molecular production at a broad Feshbach resonance in a Fermi gas of cooled atoms
journal, June 2008


Quantum simulation of the Kibble-Zurek mechanism using a semiconductor electron charge qubit
journal, February 2014


Fast two-qubit gates for quantum computing in semiconductor quantum dots using a photonic microcavity
journal, January 2013


Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
journal, August 2009


Coherent control of three-spin states in a triple quantum dot
journal, November 2011


Coherent Particle Transfer in an On-Demand Single-Electron Source
journal, November 2008


Crossing of two bands of potential curves
journal, February 1995


Exact analytical solution of the N -level Landau - Zener-type bow-tie model
journal, October 1997


Quantum circuit analog of the dynamical Casimir effect
journal, November 2011


Exact Classification of Landau-Majorana-Stückelberg-Zener Resonances by Floquet Determinants
journal, September 2013


Quantum integrability in the multistate Landau–Zener problem
journal, May 2015


Forming doublons by a quantum quench
journal, April 2012


Quantum state preparation in circuit QED via Landau-Zener tunneling
journal, October 2006


Nonequilibrium dynamics in Bose-Hubbard ladders
journal, December 2012


Landau-Zener transitions in a linear chain
journal, April 2002


Exact results for survival probability in the multistate Landau–Zener model
journal, October 2004


Landau-Zener transitions in chains
journal, March 2013


Quantum Integrability in Systems with Finite Number of Levels
journal, January 2013


High-Contrast Qubit Interactions Using Multimode Cavity QED
journal, February 2015


Many-body Landau–Zener dynamics in coupled one-dimensional Bose liquids
journal, October 2010


Characterization of Qubit Dephasing by Landau-Zener-Stückelberg-Majorana Interferometry
journal, March 2014


Multiparticle Landau-Zener problem: Application to quantum dots
journal, November 2002


Many Body Generalization of the Landau-Zener Problem
journal, February 2008


Entanglement creation in circuit QED via Landau–Zener sweeps
journal, October 2007


Multipath interference in a multistate Landau-Zener-type model
journal, February 2000


Analytical description of nonstationary circuit QED in the dressed-states basis
journal, June 2014


Level crossings in a cavity QED model
journal, January 2006


Interaction-induced Landau-Zener transitions
journal, August 2014


Exploring the quantum critical behaviour in a driven Tavis–Cummings circuit
journal, May 2015


No-go theorem for bands of potential curves in multistate Landau–Zener model
journal, March 2005


Phase diagram of Landau-Zener phenomena in coupled one-dimensional Bose quantum fluids
journal, February 2012


Landau–Zener tunnelling in dissipative circuit QED
journal, November 2008


Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model
journal, September 2012


Coherence in Spontaneous Radiation Processes
journal, January 1954


Counterintuitive transitions in the multistate Landau–Zener problem with linear level crossings
journal, October 2004


Nonadiabaticity and large fluctuations in a many-particle Landau-Zener problem
journal, April 2009


Quantum effects on curve crossing in a Bose-Einstein condensate
journal, March 2002


Comment on ‘Exact results for survival probability in the multistate Landau–Zener model’
journal, February 2006


Exact transition probabilities in a 6-state Landau–Zener system with path interference
journal, April 2015


Synthesis of arbitrary quantum states via adiabatic transfer of Zeeman coherence
journal, November 1993


Nonequilibrium Quantum Phase Transitions in the Dicke Model
journal, January 2012


Integrability of the Rabi Model
journal, August 2011


Quenching of dynamic nuclear polarization by spin–orbit coupling in GaAs quantum dots
journal, July 2015


Counterintuitive transitions between crossing energy levels
journal, November 2005


Environment-Assisted Speed-up of the Field Evolution in Cavity Quantum Electrodynamics
journal, June 2015


Dissipative Landau-Zener transitions of a qubit: Bath-specific and universal behavior
journal, June 2007


Dynamics of a many-particle Landau-Zener model: Inverse sweep
journal, May 2009


Generalisation of the Landau-Zener calculation to three levels
journal, May 1986


Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance
journal, November 2015


S-matrix for generalized Landau-Zener problem
journal, March 1993


Algebraic bethe anzatz and the tavis-cummings model
journal, June 2000


SU(3) Landau-Zener interferometry
journal, December 2013


Exact results for models of multichannel quantum nonadiabatic transitions
journal, December 2014


The exact solution of the multistate Landau-Zener type model: the generalized bow-tie model
journal, June 2001


Production efficiency of Feshbach molecules in fermion systems
journal, January 2006


Nonequilibrium Quantum Phase Transitions in the Dicke Model
text, January 2011


Forming doublons by a quantum quench
text, January 2012


Non-equilibrium dynamics in Bose-Hubbard ladders
text, January 2012


High contrast qubit interactions using multimode cavity QED
text, January 2014


Quantum effects on curve crossing in a Bose-Einstein condensate
text, January 2001


Landau-Zener transitions in a linear chain
text, January 2001


Entanglement creation in circuit QED via Landau-Zener sweeps
text, January 2007


Works referencing / citing this record:

Coherent population transfer in multi-level Allen–Eberly models
journal, March 2018


A large class of solvable multistate Landau–Zener models and quantum integrability
journal, May 2018


Landau-Zener-Stückelberg interferometry in PT -symmetric non-Hermitian models
journal, December 2019


Landau-Zener transition in a two-level system coupled to a single highly excited oscillator
journal, January 2018


Cooperative Light Emission in the Presence of Strong Inhomogeneous Broadening
journal, September 2019


On the interaction between a time-dependent field and a two-level atom
journal, March 2019


Degenerate Landau–Zener model in the presence of quantum noise
journal, August 2019