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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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When two or more objects collide with each other, they can stick together to form one single composite object (after collision). The total mass of the object after the collision is the sum of the masses of the original objects, and it moves with a velocity dictated by the conservation of momentum. Although the system's total momentum remains constant, the kinetic energy decreases, and thus such a collision is an inelastic collision. Most of the collisions between objects in daily life are...
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When two objects come in direct contact with each other, it is called a collision. During a collision, two or more objects exert forces on each other in a relatively short amount of time. A collision can be categorized as either an elastic or inelastic collision. If two or more objects approach each other, collide and then bounce off, moving away from each other with the same relative speed at which they approached each other, the total kinetic energy of the system is said to be conserved. This...
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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
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Dissipation-Induced Information Scrambling in a Collision Model.

Yan Li1, Xingli Li1, Jiasen Jin1

  • 1School of Physics, Dalian University of Technology, Dalian 116024, China.

Entropy (Basel, Switzerland)
|March 25, 2022
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Summary

We developed a collision model to simulate information dynamics in dissipative systems. This model reveals how environmental states influence information scrambling in bosonic systems, showing negative tripartite mutual information.

Keywords:
quantum informationquantum open systems

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Area of Science:

  • Quantum information theory
  • Quantum optics
  • Condensed matter physics

Background:

  • Dissipative systems are crucial for understanding information dynamics.
  • Information scrambling is a key phenomenon in quantum chaos and black hole physics.
  • Bosonic systems and Gaussian environmental states are relevant for quantum information processing.

Purpose of the Study:

  • To present a collision model for stroboscopically simulating information dynamics in dissipative systems.
  • To investigate information scrambling in bosonic systems using an all-optical scheme.
  • To analyze the role of environmental states and non-Markovianity on information dynamics.

Main Methods:

  • Development of a collision model for simulating quantum information dynamics.
  • Implementation of an all-optical scheme to study bosonic systems.
  • Analysis of tripartite mutual information under varying environmental conditions.
  • Investigation of dynamical indivisibility and non-Markovian effects.

Main Results:

  • Transient tripartite mutual information can exhibit negative values, indicating information scrambling.
  • The proposed all-optical scheme effectively simulates information scrambling in bosonic systems.
  • Environmental states significantly influence the dynamics of information scrambling.
  • Dynamical indivisibility-based non-Markovianity demonstrates a dual role in information dynamics.

Conclusions:

  • The collision model provides a novel approach to study information scrambling in dissipative quantum systems.
  • All-optical experiments can probe fundamental aspects of quantum information scrambling.
  • Understanding the interplay between dissipation, environment, and non-Markovianity is crucial for controlling quantum information.