Quantum many-body dynamics in a Lagrangian frame: I. Equations of motion and conservation laws

Specialized techniques for solving the classical many-body problem are explored in the context of simple gases, more complicated gases, and gravitating systems. The chapter starts with a brief review of some important concepts from statistical mechanics and then introduces the classic Verlet method for obtaining the dynamics of many simple particles. The practical problems of setting the system temperature and measuring observables are discussed. The issues associated with simulating systems of complex objects form the next topic. One approach is to implement constrained dynamics, which can be done elegantly with iterative methods. Gravitational systems are introduced next with stress on techniques that are applicable to systems of different scales and to problems with long range forces. A description of the recursive Barnes-Hut algorithm and particle-mesh methods that speed up force calculations close out the chapter.

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Periodically refreshed baths to simulate open quantum many-body dynamics

Physical Review B ◽

10.1103/physrevb.104.045417 ◽

2021 ◽

Vol 104 (4) ◽

Author(s):

Archak Purkayastha ◽

Giacomo Guarnieri ◽

Steve Campbell ◽

Javier Prior ◽

John Goold

Keyword(s):

Many Body ◽

Open Quantum ◽

Body Dynamics

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Ergodic and nonergodic many-body dynamics in strongly nonlinear lattices

Physical Review E ◽

10.1103/physreve.103.052213 ◽

2021 ◽

Vol 103 (5) ◽

Author(s):

Dominik Hahn ◽

Juan-Diego Urbina ◽

Klaus Richter ◽

Rémy Dubertrand ◽

S. L. Sondhi

Keyword(s):

Many Body ◽

Strongly Nonlinear ◽

Nonlinear Lattices ◽

Body Dynamics

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Stacking angle dependent multiple excitonic resonances in bilayer tungsten diselenide

Nanophotonics ◽

10.1515/nanoph-2020-0034 ◽

2020 ◽

Vol 9 (12) ◽

pp. 3881-3887

Author(s):

Ankit Arora ◽

Pramoda K. Nayak ◽

Tejendra Dixit ◽

Kolla Lakshmi Ganapathi ◽

Ananth Krishnan ◽

...

Keyword(s):

Chemical Vapour ◽

Optoelectronic Devices ◽

Interlayer Coupling ◽

Higher Order ◽

Doping Effect ◽

Many Body ◽

Si Substrate ◽

Tungsten Diselenide ◽

Body Dynamics ◽

Insight Into

AbstractWe report on multiple excitonic resonances in bilayer tungsten diselenide (BL-WSe2) stacked at different angles and demonstrate the use of the stacking angle to control the occurrence of these excitations. BL-WSe2 with different stacking angles were fabricated by stacking chemical vapour deposited monolayers and analysed using photoluminescence measurements in the temperature range 300–100 K. At reduced temperatures, several excitonic features were observed and the occurrences of these exitonic resonances were found to be stacking angle dependent. Our results indicate that by controlling the stacking angle, it is possible to excite or quench higher order excitations to tune the excitonic flux in optoelectronic devices. We attribute the presence/absence of multiple higher order excitons to the strength of interlayer coupling and doping effect from SiO2/Si substrate. Understanding interlayer excitations will help in engineering excitonic devices and give an insight into the physics of many-body dynamics.

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Many-Body Dynamics Coupled to Continuum and “Pygmy”-Resonances

10.1063/1.2140671 ◽

2005 ◽

Author(s):

Alexander Volya

Keyword(s):

Many Body ◽

Body Dynamics

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Quantum Many-Body Dynamics of Driven-Dissipative Rydberg Polaritons

Physical Review Letters ◽

10.1103/physrevlett.125.263604 ◽

2020 ◽

Vol 125 (26) ◽

Author(s):

Tim Pistorius ◽

Javad Kazemi ◽

Hendrik Weimer

Keyword(s):

Many Body ◽

Body Dynamics

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Lagrangian equations of motion. Conservation laws

Exploring Classical Mechanics ◽

10.1093/oso/9780198853787.003.0017 ◽

2020 ◽

pp. 156-174

Author(s):

Gleb L. Kotkin ◽

Valeriy G. Serbo

Keyword(s):

Magnetic Field ◽

Conservation Laws ◽

Coordinate Transformation ◽

Virial Theorem ◽

Equations Of Motion ◽

Electromechanical System ◽

Interacting Particles ◽

Integral Of Motion ◽

Lagrangian Functions ◽

Lagrangian Equations

This chapter addresses the invariance of the Lagrangian equations of motion under the coordinate to transformation, the transformation of the energy and generalised momenta under the coordinate transformation. The integrals of motion for a particle moving in the field with a given symmetry to the Noether’s theorem, the Lagrangian functions, and the Lagrangian equations of motion for the electromechanical system. The authors also discuss the influence of constraints and friction on the motion of a system, the virial theorem and its generalization in the presents of a magnetic field, and an additional integral of motion for a system of three interacting particles.

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