Quantum Criticality in Biomolecules
•Download as PPTX, PDF•
2 likes•367 views
Lecture was given on October 4, 2016, on Wivace/Bionam, Salerno, Italy
Recommended
More Related Content
Similar to Quantum Criticality in Biomolecules
Similar to Quantum Criticality in Biomolecules (20)
More from Gabor Vattay
Recently uploaded
Recently uploaded (20)
Quantum Criticality in Biomolecules
- 1. Quantum Criticality in Biomolecules Gábor Vattay Department of Physics of Complex Systems Eötvös University Budapest WIVACE 2016, Salerno October
- 4. Why electrons and protons can live forever?
- 6. why carbon exists in the Universe?
- 7. QM and life
- 8. Erwin Schrödinger What is Life? (1944) prediction of DNA and free will
- 9. Albert Szent-Györgyi Nobel Prize 1937 energy transport Frenkel exciton light harvesting
- 10. Roger Penrose The Emperor’s New Mind: Concerning Computers, Minds and Laws of Physics (1989)
- 11. Stuart Hameroff Quantum coherence in microtubules
- 12. Stuart Kauffman The Poised Realm
- 13. Just before life …
- 14. primordial soup
- 15. The LEGO problem
- 16. Combinatorial complexity of evolution 4n nucleotide sequences 20n amino acid sequences
- 18. Decoherence Open quantum systems lose coherence and become classical FAPP In physics: low temperature (below mK) separation from the environment In biology: high temperature (300 K) strong coupling (water and dipole moments) Verdict: On the mass and length scale of amino acids and nucleotides coherence is too short lived to make any difference.
- 19. Quantum Biology
- 22. FMO complex
- 25. FMO is searching the energy minimum
- 26. FMO as a little quantum computer Fleming and Engel (Nature, 2007
- 27. Environment Assisted Quantum Transport (2009)
- 28. The Poised Realm
- 29. Revisiting the chemical LEGO
- 30. Articles of Faith 1. There is no such thing as classical, p and e stay quantum: Molecules can hover between quantum and classical all the time (The Poised Realm). 2. Without quantum parallelism evolution can’t beat combinatorics. 3. Chemicals, which can stay coherent for a long time in a hostile, coherence breaking environment (soup), have more chance to try new combinatorial possibilities. 4. They are the ones which evolve into even larger molecules. 5. Decoherence avoidance is a selectional advantage.
- 31. Fighting decoherence Decoherence is fast for extended quantum states Decoherence is slow for strongly localized states Systems with strongly localized states are fragmented Systems which are at the border of localization- delocalization survive decoherence the most Graph of the molecule should resemble the gigantic component of a random graph at criticality
- 33. Anderson transition L Critical states Localized states Extended states disorderVW /
- 35. Purity decay of the chromophore ring with 1D Harper hamiltonian. Vattay G, Kauffman S, Niiranen S (2014) Quantum Biology on the Edge of Quantum Chaos. PLoS ONE 9(3): e89017.
- 36. Early evolved biosynthesized compounds have critical graphs Erdös Rényi GC Vitamin D3
- 37. Level 2.0
- 38. Random matrix theory Wigner and Dirac (1951) Universal GOE level spacing statistics Random nuclear interaction Hamiltonian Statistical description of energy levels Semicircle law for DOS
- 39. Quantum chaos (O.Bohigas 1984, M. Berry 1977)
- 40. Metal-insulator transition Disordered conductors Random hopping between sites: GOE statistics, fully connected quantum graph (gigantic component), delocalized states, conductor, short coherence time High on site randomness: Poisson statistics, fragmented quantum graph, localized states, insulator, long coherence time Phase transition between conductor and insulator at a critical level of on site randomness, Critical quantum chaos: semi-Poissonian statistics, critical quantum graph, fractal states, conductor and long coherence time
- 41. Critical quantum chaos: appears only in the critical point
- 42. Articles of Faith 2.0 1. Critical quantum chaotic systems avoid decoherence the best 2. Critical molecules don’t arise randomly, they require fine tuning of parameters of the Hamiltonian 3. Critical molecules should be rare exceptions among molecules in general 4. It is an evolutionary advantage for a molecule to be in the critical chaotic state 5. Naturally evolved molecules -- molecules with biological functions -- should be predominantly critical
- 43. Theophylline
- 44. Nicotine
- 45. Glucose
- 46. Omega-6
- 47. Picrotoxin
- 48. Benzoanthracene
- 50. Testosterone
- 51. Evidence of Quantum Criticality in small and large molecules
- 52. Wave functions in proteins
- 55. Level spacing in proteins Gábor Vattay Dennis Salahub, István Csabai1, Ali Nassimi and Stuart A Kauffman 2015 J. Phys.: Conf. Ser. 626 012023
- 57. Level statistics of various biomolecules
- 58. Receptors, signaling and drugs sex, drugs and rock-and-roll
- 62. Adenosine 1 O( 1) 2s 2 O( 1) 2px 3 O( 1) 2py 4 O( 1) 2pz 5 C( 2) 2s 6 C( 2) 2px 7 C( 2) 2py 8 C( 2) 2pz 9 C( 3) 2s 10 C( 3) 2px 11 C( 3) 2py 12 C( 3) 2pz 13 O( 4) 2s 14 O( 4) 2px 15 O( 4) 2py 16 O( 4) 2pz 17 C( 5) 2s 18 C( 5)
- 63. O(1) --- O(17)
- 64. Adenosine 1 O( 1) 2s 2 O( 1) 2px 3 O( 1) 2py 4 O( 1) 2pz 5 C( 2) 2s 6 C( 2) 2px 7 C( 2) 2py 8 C( 2) 2pz 9 C( 3) 2s 10 C( 3) 2px 11 C( 3) 2py 12 C( 3) 2pz 13 O( 4) 2s 14 O( 4) 2px 15 O( 4) 2py 16 O( 4) 2pz 17 C( 5) 2s 18 C( 5) 2px 19 C( 5) 2py 20 C( 5) 2pz 21 N( 6) 2s 22 N( 6) 2px 23 N( 6) 2py 24 N( 6) 2pz 25 C( 7) 2s 26 C( 7) 2px 27 C( 7) 2py 28 C( 7) 2pz 29 N( 8) 2s O(1) O(17)
- 65. Adenosine in the receptor
- 67. Adenosine in the receptor
- 68. O(1) --- O(17) C(7) --- C(12) C(18) --- H(30),H(31) C(3) --- C(5) C(3) --- C(16) O(17) O(19) N(15)
- 69. Adenosine 1 O( 1) 2s 2 O( 1) 2px 3 O( 1) 2py 4 O( 1) 2pz 5 C( 2) 2s 6 C( 2) 2px 7 C( 2) 2py 8 C( 2) 2pz 9 C( 3) 2s 10 C( 3) 2px 11 C( 3) 2py 12 C( 3) 2pz 13 O( 4) 2s 14 O( 4) 2px 15 O( 4) 2py 16 O( 4) 2pz 17 C( 5) 2s 18 C( 5) O(1) O(17) C(7) C(12) C(18) C(3) C(5) N(15)
- 70. Adenosine in the receptor
- 71. Testosterone in the receptor
- 72. Testosterone
- 73. O(8) --- H(31) O(19) --- C(18) O(8) --- C(9)
- 74. Plug and socket model
- 75. Molecular level statistics is a relic of the prebiotic evolution
- 76. Thank you!