Presentation is loading. Please wait.

Presentation is loading. Please wait.

Continuos-variable and EIT-based quantum memories: a common perspective Michael Fleischhauer Zoltan Kurucz Technische Universität Kaiserslautern DEICS.

Published by Modified over 9 years ago

Similar presentations

Presentation on theme: "Continuos-variable and EIT-based quantum memories: a common perspective Michael Fleischhauer Zoltan Kurucz Technische Universität Kaiserslautern DEICS."— Presentation transcript:

1 Continuos-variable and EIT-based quantum memories: a common perspective Michael Fleischhauer Zoltan Kurucz Technische Universität Kaiserslautern DEICS III / QUDAL Feb. 2006, Eilat, Israel

2 in collaboration with: Mikhail Lukin (Harvard) Eugene Polzik (Kopenhagen) Anders Sørensen (Kopenhagen) QUACS

3 quantum networks |>|> photons as information carrieratoms for storage and processing

4 atom-light interfaces: EIT scheme  (t) probe Fleischhauer, Lukin, PRL 2000; PRA 2002 Phillips et al. PRL 2001, Kuzmich et al. Nature 2005 Eisaman et al. Nature 2005 quasi-particle picture ? Faraday scheme  probe Julsgaard, Sherson, Cirac, Fiurášek, Polzik, Nature 2004 Sørenson, Mølmer, … quant-ph/0505170, … continuous variable picture

5 outline:outline: perfect single-mode quantum memory Faraday scheme off-resonant Raman scheme EIT scheme

6 outline:outline: perfect single-mode quantum memory Faraday scheme off-resonant Raman scheme EIT scheme

7 outline:outline: perfect single-mode quantum memory Faraday scheme off-resonant Raman scheme EIT scheme

8 outline:outline: perfect single-mode quantum memory Faraday scheme off-resonant Raman scheme EIT scheme

9 perfect single-mode memory: perfect single-mode memory: light modeatomic ensemble XP X P LL A A map of ideal q-memory: M symplectic 2 x 2 matrices i

10 bi-linear Hamiltonian: assume:

11 solution of Heisenberg equation: if determinant is nonzero (=1):

12 generic Hamiltonians for ideal mapping  (T) =  / 2

13 Faraday rotation: microscopic Hamiltonian Julsgaard, Sherson, Cirac, Fiurášek, Polzik, Nature 2004 Sørenson, Mølmer et al. quant-ph/0505170 strong coherent field with linear polarization in x direction i.e. x =  + and  - atoms are spin polarized in x direction, i.e. (|1> + |2>)/  2 z x y

14 Stokes parameters of polarization state of light Spins of atomic ensemble „macroscopic“ Hamiltonian constant of motion

15 x – pol. coherent input light initial atomic polarization „macroscopic“ Hamiltonian = |  | / 2 x 2 non-ideal Hamiltonian mapping

16 single-pass Faraday scheme: unitary evolution for time t requires atomic spin squeezing requires perfect detection & feedbeack L measurement of light component X  x and momentum displacement –x/t of atoms (feedback) Julsgaard et.al, Nature 2004

17 Gaussian state fidelity of single-pass scheme: non-Gaussian states (  = 0) coherent spin and light state, pefect detector (  =0),  F ≤ 82 % coh. spin state (CSS)

18 double-pass Faraday scheme: 1. unitary evolution with H for t requires either atomic spin squeezing but no feedback Sherson et al. quant-ph/0505170 1 2. unitary evolution with H for t´ 2 tt´= 1 or perfect detection & feedback but no squeezing

19 triple-pass Faraday scheme: ideal mapping w/o squeezing and feedback operator identity

20 EIT scheme:  Fleischhauer, Lukin, PRL 2000; PRA 2002; Phillips et al. PRL 2001, Kuzmich et al. Nature 2005; Eisaman et al. Nature 2005 dynamically controllable group velocity 2 3

21 „stopping“ of light:

22 Autler-Townes splitting   quasi-particle picture of EIT: large small

23 dark & bright-state polaritons: in adiabatic limit:

24 collective spin light-stopping = adiabatic rotation of DSP: E  spin

25 polariton excitations: |n  |S = -N/2  |0  |S = -N/2 + n   = 0  =  /2 polariton rotation: = ph at

26 time-dependent  : perfect mapping Hamiltonian effective Hamiltonian of dynamical EIT:

27 off-resonant Raman scheme: drive-field  + polarized atoms z- polarized g /  = g ´ /  ´  Faraday scheme S  22 zz

28 choose perfect mapping Hamiltonian drive-field  + polarized atoms z- polarized

29 summary:summary: perfect single-mode quantum memory single-pass Faraday scheme + squeezing and feedback double-pass Faraday scheme + squeezing or feedback triple-pass Farday scheme EIT scheme

Download ppt "Continuos-variable and EIT-based quantum memories: a common perspective Michael Fleischhauer Zoltan Kurucz Technische Universität Kaiserslautern DEICS."

Similar presentations

APRIL 2010 AARHUS UNIVERSITY Simulation of probed quantum many body systems.

APRIL 2010 AARHUS UNIVERSITY Simulation of probed quantum many body systems.
Exploring Topological Phases With Quantum Walks $$ NSF, AFOSR MURI, DARPA, ARO Harvard-MIT Takuya Kitagawa, Erez Berg, Mark Rudner Eugene Demler Harvard.

Exploring Topological Phases With Quantum Walks $$ NSF, AFOSR MURI, DARPA, ARO Harvard-MIT Takuya Kitagawa, Erez Berg, Mark Rudner Eugene Demler Harvard.
CPT EIT LWI. |2> |1> |3> CPT Suppose then solving Schrodinger Equation What if we’re sneaky and choose Such that c 1 (t)=0. Then we are trapped in the.

CPT EIT LWI. |2> |1> |3> CPT Suppose then solving Schrodinger Equation What if we’re sneaky and choose Such that c 1 (t)=0. Then we are trapped in the.
Nonlinear microwave optics in superconducting quantum circuits Zachary Dutton Raytheon BBN Technologies BBN collaborators Thomas Ohki John Schlafer Bhaskar.

Nonlinear microwave optics in superconducting quantum circuits Zachary Dutton Raytheon BBN Technologies BBN collaborators Thomas Ohki John Schlafer Bhaskar.
Super-radiant light scattering with BEC’s – a resource for useful atom light entaglement? Motivation – quantum state engineering Light-atom coupling in.

Super-radiant light scattering with BEC’s – a resource for useful atom light entaglement? Motivation – quantum state engineering Light-atom coupling in.
Memory must be able to store independently prepared states of light The state of light must be mapped onto the memory with the fidelity higher than the.

Memory must be able to store independently prepared states of light The state of light must be mapped onto the memory with the fidelity higher than the.
Stimulated Raman Adiabatic Passage into continuum

Stimulated Raman Adiabatic Passage into continuum
Title ： Investigation on Nonlinear Optical Effects of Weak Light in Coherent Atomic Media  Author ： Hui-jun Li  Supervisor: Prof Guoxiang Huang  Subject:

Title ： Investigation on Nonlinear Optical Effects of Weak Light in Coherent Atomic Media  Author ： Hui-jun Li  Supervisor: Prof Guoxiang Huang  Subject:
Quantum Feedback Control of Entanglement in collaboration with H. M. Wiseman, Griffith University, Brisbane AU University of Camerino, Italy Stefano Mancini.

Quantum Feedback Control of Entanglement in collaboration with H. M. Wiseman, Griffith University, Brisbane AU University of Camerino, Italy Stefano Mancini.
Interference experiments with ultracold atoms Collaborators: Ehud Altman, Anton Burkov, Robert Cherng, Adilet Imambekov, Serena Fagnocchi, Vladimir Gritsev,

Interference experiments with ultracold atoms Collaborators: Ehud Altman, Anton Burkov, Robert Cherng, Adilet Imambekov, Serena Fagnocchi, Vladimir Gritsev,
Quantum Control in Semiconductor Quantum Dots Yan-Ten Lu Physics, NCKU.

Quantum Control in Semiconductor Quantum Dots Yan-Ten Lu Physics, NCKU.
Niels Bohr Institute Copenhagen University Quantum memory and teleportation with atomic ensembles Eugene Polzik.

Niels Bohr Institute Copenhagen University Quantum memory and teleportation with atomic ensembles Eugene Polzik.
Niels Bohr Institute Copenhagen University Eugene PolzikLECTURE 3.

Niels Bohr Institute Copenhagen University Eugene PolzikLECTURE 3.
Universal Optical Operations in Quantum Information Processing Wei-Min Zhang ( Physics Dept, NCKU )

Universal Optical Operations in Quantum Information Processing Wei-Min Zhang ( Physics Dept, NCKU )
Quantum Observations in Optimal Control of Quantum Dynamics Feng Shuang Herschel Rabitz Department of Chemistry, Princeton University ICGTMP 26 th, June,

Quantum Observations in Optimal Control of Quantum Dynamics Feng Shuang Herschel Rabitz Department of Chemistry, Princeton University ICGTMP 26 th, June,
Overview of QM Translational Motion Rotational Motion Vibrations Cartesian Spherical Polar Centre of Mass Statics Dynamics P. in Box Rigid Rotor Spin Harmonic.

Overview of QM Translational Motion Rotational Motion Vibrations Cartesian Spherical Polar Centre of Mass Statics Dynamics P. in Box Rigid Rotor Spin Harmonic.
Entanglement of Collective Quantum Variables for Quantum Memory and Teleportation N. P. Bigelow The Center for Quantum Information The University of Rochester.

Entanglement of Collective Quantum Variables for Quantum Memory and Teleportation N. P. Bigelow The Center for Quantum Information The University of Rochester.
Fractional Quantum Hall states in optical lattices Anders Sorensen Ehud Altman Mikhail Lukin Eugene Demler Physics Department, Harvard University.

Fractional Quantum Hall states in optical lattices Anders Sorensen Ehud Altman Mikhail Lukin Eugene Demler Physics Department, Harvard University.
Niels Bohr Institute Copenhagen University Eugene PolzikLECTURE 5.

Niels Bohr Institute Copenhagen University Eugene PolzikLECTURE 5.
Probing interacting systems of cold atoms using interference experiments Harvard-MIT CUA Vladimir Gritsev Harvard Adilet Imambekov Harvard Anton Burkov.

Probing interacting systems of cold atoms using interference experiments Harvard-MIT CUA Vladimir Gritsev Harvard Adilet Imambekov Harvard Anton Burkov.

Similar presentations

Ads by Google