Dr. Joaquin Masoud C. Shafiee-surgery Equipment in emergency case
Poster - Sharifsharif.edu/~shafiee/index/Index_files/Poster.pdf · quantum interference and Bell's...
1
In the group, the main research topics are quantum interference and Bell's theorem, interpretation of quantum mechanics and manipulating new theoretical models to explain the mysteries of quantum world. Some other topics such as the measurement problem, macroscopic quantum coherence, quantum decoherence, quantum thermodynamics, quantum Information and Bohmian Mechanics are included. In quantum information and thermodynamics, the research group focuses on the origin of first and second law of thermodynamics and its relation with quantum processes and also on the relationship between entropy and information. We also work on quantum aspects of life as well as the origin of chirality, and the role of information in biological cells. The macroscopic quantum systems are considered as a bridge between quantum and classical systems. We describe the dynamics of quantum systems by introducing dimensionless parameters. Through this method the new parameter is presented as ℎ " = ℏ & & which & and & are defined as characteristic length and momentum of the system. When ℎ " ≪1 the system behaves quasi-classically. The values of ℎ " between 0.1 and 0.01 are fair enough to show the macroscopic disposition of our works. This approach lets us to study the quantum effects on the classical behavior of macroscopic systems. We have instantiated a macroscopic quantum harmonic oscillator interacting with various numbers of micro-oscillating particles in the environment. The parameter ℎ " indicates the macroscopic disposition of the system. The calculations show that for the quasi-classical system the macroscopic behavior could be indicated by the violation of position- momentum HUR Δ . ∆ . < 2 3 4 5 , when similar limited numbers of the particles of the environment are in the interaction. The violation of HUR for a macroscopic quantum system is beyond our consideration. Also, as the number of the particles of the environment increases, there would appear other factors which could affect the quantum traits of the system. By the way, with the different values of environment interacting particles , generally, the lower limit of the violation range for ℎ " in the HUR relation would be 1 7 9:; <ℎ " 9:; Macrorealism (MR) demands that, first, one can assign definite states to a macrosystem, so that it could be actually in one of these states independent of any observation, Second, it requires the non- invasive measurability of such macrostates which should not be affected, when they are measured. Leggett-Garg inequality (LGI) examine whether the theories satisfying MR are compatible with quantum mechanics or not. For an asymmetric double-well potential in a harmonic environment, by using a time-dependent approach, tunneling probabilities for the system which contain oscillation effects have been calculated. For the system described, this shows that the violation of the inequality occurs for a broader range compared to previous results obtained for two-level systems. For quantum systems, we expect to see classical behavior at the limit of large quantum numbers. Hence, we apply Bohmian approach to describe the Earth revolution around the Sun. We obtain possible trajectories of the Earth system with different initial conditions which converses to a definite stable orbit after a given time, known as the Kepler orbit. The trajectories are resulted from the guidance equation = in Bohmian mechanics which relates the momentum of the system to the phase part of the wave function at large quantum numbers (classical limit). Quantum potential is also shown to have no significant role in the Earth dynamics due to the macroscopic trail of the system. Quantum mechanics have been used in the study of biomolecule structures and functions recently. Several attempts have been made to explain the structure of the genetic code using quantum mechanical methods. The model presented by I. G. Karafylidis 2008, based on the assumption that genetic information is conserved, and models DNA are the sender and proteins as the receiver of this information. Genetic information for protein synthesis is encoded in nucleotide triplets. A 64-dimensional Hilbert space is used to describe the information stored on DNA side, based on 64 possible codons. Each amino acid is described by a Hilbert subspace. The idea is to study the transition probabilities related to different types and sources of mutations using open system quantum mechanics. -H. R. Naeij and A. Shafiee, J. Stat. Phys. 6, 1141-1152 (2016). -H. R. Naeij and A. Shafiee, Found. Phys. 12, 1634-1648 (2016). -A. Tirandaz, F. Taher Ghahramani and A. Shafiee, Phys. Rev. E 92, 032724 (2015). -A. Shafiee and F. Taher Ghahramani, Quantum Stud: Math. Found. 5, 1-14 (2015). -A. Tirandaz, F. Taher Ghahramani and A. Shafiee, J. Biol. Phys. 40, 369-386 (2014). -I. Khatam and A. Shafiee, Found. Sci. 3, 241-255 (2014).
Transcript of Poster - Sharifsharif.edu/~shafiee/index/Index_files/Poster.pdf · quantum interference and Bell's...
In the group, the main research topics arequantum interference and Bell's theorem,interpretation of quantum mechanics andmanipulating new theoretical models to explainthe mysteries of quantum world. Some othertopics such as the measurement problem,macroscopic quantum coherence, quantumdecoherence, quantum thermodynamics,quantum Information and Bohmian Mechanicsare included.In quantum information and thermodynamics,the research group focuses on the origin of firstand second law of thermodynamics and itsrelation with quantum processes and also on therelationship between entropy and information.We also work on quantum aspects of life as wellas the origin of chirality, and the role ofinformation in biological cells.
The macroscopic quantum systems are considered as a bridge between quantumand classical systems. We describe the dynamics of quantum systems byintroducing dimensionless parameters. Through this method the new parameteris presented as
ℎ" =ℏ
𝑃&𝑅&which 𝑃& and 𝑅& are defined as characteristic length and momentum of thesystem. When ℎ" ≪ 1 the system behaves quasi-classically. The values of ℎ"between 0.1 and 0.01 are fair enough to show the macroscopic disposition ofour works. This approach lets us to study the quantum effects on the classicalbehavior of macroscopic systems.
We have instantiated a macroscopic quantumharmonic oscillator interacting with variousnumbers of micro-oscillating particles in theenvironment. The parameter ℎ" indicates themacroscopic disposition of the system. Thecalculations show that for the quasi-classicalsystem the macroscopic behavior could beindicated by the violation of position-momentum HUR
Δ𝑞.∆𝑝. < 234
5,
when similar limited numbers of the particles ofthe environment 𝑁 are in the interaction. Theviolation of HUR for a macroscopic quantumsystem is beyond our consideration. Also, as thenumber of the particles of the environmentincreases, there would appear other factorswhich could affect the quantum traits of thesystem. By the way, with the different values ofenvironment interacting particles 𝑁, generally,the lower limit of the violation range for ℎ" inthe HUR relation would be
1𝑁7𝜋9:; < ℎ"9:;
Macrorealism (MR) demands that, first,one can assign definite states to amacrosystem, so that it could be actuallyin one of these states independent of anyobservation, Second, it requires the non-invasive measurability of suchmacrostates which should not beaffected, when they are measured.Leggett-Garg inequality (LGI) examinewhether the theories satisfying MR arecompatible with quantum mechanics ornot. For an asymmetric double-wellpotential in a harmonic environment, byusing a time-dependent approach,tunneling probabilities for the systemwhich contain oscillation effects havebeen calculated. For the systemdescribed, this shows that the violationof the inequality occurs for a broaderrange compared to previous resultsobtained for two-level systems.
For quantum systems, we expect to seeclassical behavior at the limit of largequantum numbers. Hence, we applyBohmian approach to describe theEarth revolution around the Sun. Weobtain possible trajectories of theEarth system with different initialconditions which converses to adefinite stable orbit after a given time,known as the Kepler orbit. Thetrajectories are resulted from theguidance equation 𝑝 = 𝛻𝑆 inBohmian mechanics which relates themomentum of the system to the phasepart of the wave function at largequantum numbers (classical limit).Quantum potential is also shown tohave no significant role in the Earthdynamics due to the macroscopic trailof the system.
Quantum mechanics have been used in the study of biomolecule structuresand functions recently. Several attempts have been made to explain thestructure of the genetic code using quantum mechanical methods. The modelpresented by I. G. Karafylidis 2008, based on the assumption that geneticinformation is conserved, and models DNA are the sender and proteins asthe receiver of this information. Genetic information for protein synthesis isencoded in nucleotide triplets.A 64-dimensional Hilbert space is used to describe the information stored onDNA side, based on 64 possible codons. Each amino acid is described by aHilbert subspace. The idea is to study the transition probabilities related todifferent types and sources of mutations using open system quantummechanics.
-H. R. Naeij and A. Shafiee, J. Stat. Phys. 6, 1141-1152 (2016).-H. R. Naeij and A. Shafiee, Found. Phys. 12, 1634-1648 (2016).-A. Tirandaz, F. Taher Ghahramani and A. Shafiee, Phys. Rev. E92, 032724 (2015).-A. Shafiee and F. Taher Ghahramani, Quantum Stud: Math.Found. 5, 1-14 (2015).-A. Tirandaz, F. Taher Ghahramani and A. Shafiee, J. Biol. Phys.40, 369-386 (2014).-I. Khatam and A. Shafiee, Found. Sci. 3, 241-255 (2014).
