6533b86dfe1ef96bd12c9702
RESEARCH PRODUCT
Numerical simulation of free dissipative open quantum system and establishment of a formula for π
Souvik Agastisubject
PhysicsCouplingComputer simulationUnitary transformationk-nearest neighbors algorithmtiiviin aineen fysiikkaOpen quantum systemMatrix (mathematics)Classical mechanicscondensed matter physicsChain (algebraic topology)Dissipative systemsimulointikvanttifysiikkadescription
We transform the system/reservoir coupling model into a one-dimensional semi-infinite discrete chain with nearest neighbor interaction through a unitary transformation, and, simulate the dynamics of free dissipative open quantum system. We investigate the consequences of such modeling, which is observed as finite size effect causing the recurrence of particle from the end of the chain. Afterwards, we determine a formula for π in terms of the matrix operational form, which indicates a robustness of the connection between quantum physics and basic mathematics. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-01 |