Witnessing Quantum Coherence IWQSE 2013, NTU Oct. 15 (2013) Yueh-Nan Chen ( 陳岳男 ) Dep. of Physics, NCKU National Center for Theoretical Sciences (South)

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Presentation transcript:

Witnessing Quantum Coherence IWQSE 2013, NTU Oct. 15 (2013) Yueh-Nan Chen ( 陳岳男 ) Dep. of Physics, NCKU National Center for Theoretical Sciences (South)

Outline Coherence and entanglement Cavity QED The Leggett-Garg Inequalities Witnessing Quantum Coherence in Biological Systems

Quantum Information Teleportation Dense coding Secret sharing Key distribution Quantum Computation Algorithms coherence and entanglement

Bit : 0, 1 or +, - or boy, girl…. Any two-level system 1 0 time t0t0 t1t1 t2t2

Q-bit: Any two-level and physical system (Quantum bit) 0 Two-level atom time t0t0 t1t1 t2t

Two qbits : two spins Spin up Spin down interaction Schrodinger eq. Spin up Spin down - A B AB AB A B time t0t0 t entangled state

Entanglement A + a2 A ( a1 ) B + b2 B ( b1 ) Impossible to factory Symbol of connecting to independent system *.*?

薛丁格的貓： To be or not to be?

Cavity QED

The Nobel Prize in Physics 2012 The Nobel Prize in Physics 2012 was awarded jointly to Serge Haroche and David J. Wineland "for ground-breaking experimental methods that enable measuring and manipulation of individual quantum systems" Serge HarocheDavid J. Wineland

Interaction between a two-level atom and the photon reservoir: In the interaction picture, the state vector :, where : an atom initially in the excited state : a photon of q in the radiation field Spontaneous emission of single two-level atom

Results : where is the decay rate represents the Lamb Shift The radiation intensity distribution :, where is the energy spacing

Two-level atom inside a cavity The interaction between the atom and single-mode cavity:

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001). Vacuum Rabi oscillations

Vacuum Rabi splitting

Gate-confined Double Quantum Dots

Quantum Coherence in Double Quantum Dots

K. D. Petersson, J. R. Petta, H. Lu, and A. C. Gossard, PRL 105, (2010)

Question: Are they truly quantum?

The Robotic Bugs

Quantum vs Classical Bell’s Inequality: Locality and Realism

The Bell-CHSH inequality

Predictions of QM for the singlet state

QM violates the Bell-CHSH inequality

Leggett-Garg Inequality (Bell’s inequality in time) Realism and non-invasive measurement Quantum mechanics versus macroscopic realism: Is the flux there when nobody looks? Leggett and Garg, Phys. Rev. Lett. 54, 857–860 (1985)

Palacios-Laloy, A. et al. Nature Phys. 6, 442–447 (2010).

Distinguishing Quantum and Classical Transport through Nanostructures Transport Charge Inequality: N. Lambert, C. Emary, Y. N. Chen, and F. Nori, Phys. Rev. Lett. 105, (2010)

Double Quantum Dot

Violation of charge inequality for DQD

Quantum Transport in Organism ?

The Quantum Dimension Of Photosynthesis

Reaction Center Pigments (BChl) Leggett-Garg inequality ?

Witnessing Quantum Coherence in FMO Complex C. M. Li*, N. Lambert*, Y. N. Chen*, G. Y. Chen and F. Nori, Scientific Reports 2, 885 (2012)

Avian Magnetoreception: a tale of two spins

Summary 1. Coherence and Entanglement 2. Cavity QED 3. The LG Inequalities 4. Quantumness in Biological Systems

Thank you for your attention!