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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Quantum dynamics of a driven three-level Josephson-atom maser
Yaroslav M. Blanter
Kavli Institute of Nanoscience, Delft University of Technology
With: Nicolas Didier, Frank Hekking
Phys. Rev. B 82, 214507 (2010)
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Completed work
1. Interaction Constants and Dynamic Conductance of a Gated Wire Ya. M. Blanter, F. W. J. Hekking, and M. Büttiker, Phys. Rev. Lett. 81, 1925 (1998)
2. Supercurrent in long SFFS junctions with antiparallel domain configuration Ya. M. Blanter and F. W. J. Hekking Phys. Rev. B 69, 024525 (2004)
3. Quantum dynamics of a driven three-level Josephson-atom laser N. Didier, Ya. M. Blanter, and F. W. J. Hekking Phys. Rev. B 82, 214507 (2010)
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Not completed work
- Extension of Blanter – Hekking – Büttiker to the wire with a barrier - Self-consistent theory of radiation of a Josephson junction- Nanomechanical cooling using superconductors- ...
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
My recent work
- Optomagnonics and magnon manipulation by light - Non-linear nano- and optomechanics- Nanostructures with complex oxides
Sanchar Sharma, Gerrit BauerGary Steele Lab
Andrea Caviglia Lab
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Single artificial-atom lasing
O. Astafiev, K. Inomata, A. O. Niskanen, T. Yamamoto, Yu. A. Pashkin, Y. Nakamura, and J. S. Tsai Nature 449, 588 (2007)
Cooper pair boxcoupled to amicrowave resonator
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Single artificial-atom lasing
O. Astafiev, K. Inomata, A. O. Niskanen, T. Yamamoto, Yu. A. Pashkin, Y. Nakamura, and J. S. Tsai Nature 449, 588 (2007)
![Page 8: Quantum dynamics of a driven three-level … › data › pages › ...Yaroslav M. Blanter Frank Hekking memorial workshop, January 2018 Quantum dynamics of a driven three-level Josephson-atom](https://reader033.vdocuments.mx/reader033/viewer/2022060509/5f257a8dd321b97b180d2afd/html5/thumbnails/8.jpg)
Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Single artificial-atom lasing
O. Astafiev, K. Inomata, A. O. Niskanen, T. Yamamoto, Yu. A. Pashkin, Y. Nakamura, and J. S. Tsai Nature 449, 588 (2007)
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Single artificial-atom lasing
S. André, V. Brosco, A. Shnirman, and G. SchönPhys. Rev. A 79, 053848 (2009)
S. André, V. Brosco, M. Marthaler, A. Shnirman, and G. SchönPhys. Scr. T 79, 014016 (2009)
Theory:
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Hamiltonian
Jaynes-Cummings Hamiltonian:
( )† †10 0 01 10
1ˆ ˆ ˆ ˆ
2 zH a a i g a aw s w s s= + + -h h h
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Lindblad equation
1 ˆ ˆ,H Li
r r ré ù= +ë û&h
21 20 12
ˆ ˆ ˆ ˆ ˆ ˆL L L L L Lg g g kG= + + + +
( )21 21 21 12 11 11
1ˆ 2 ,2 ijL i jg g s rs s r rs s= - - =
( )† † †1ˆ ˆ ˆ ˆ ˆ ˆ ˆ22
L a a a a a ak k r r r= - -
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Transient dynamics – Cavity
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Transient dynamics – Qubit
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Driven cavity
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Coupling to a two-level system
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Semi-classical approximation
† †ˆ ˆ ˆ ˆz za a a as s»
Fails close to the resonance
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Frank Hekking memorial workshop, January 2018Yaroslav M. Blanter
Conclusions
The Lindblad equation fully describes the dynamics of an artificial atom
The additional peak can be due a coupling to a two-level system
Semi-classical approximation fails close to the resonance