# Dynamics of entropy and information of time-dependent quantum systems: exact results

@inproceedings{Andrzejewski2021DynamicsOE, title={Dynamics of entropy and information of time-dependent quantum systems: exact results}, author={K. Andrzejewski}, year={2021} }

Dynamical aspects of information-theoretic and entropic measures of quantum systems are studied. First, we show that for the time-dependent harmonic oscillator, as well as for the charged particle in certain time-varying electromagnetic fields, the increase of the entropy and dynamics of the Fisher information can be directly described and related. To illustrate these results we have considered several examples for which all the relations take the elementary form. Moreover, we show that the… Expand

#### References

SHOWING 1-10 OF 80 REFERENCES

Entanglement dynamics of coupled oscillators from Gaussian states

- Physics
- 2021

In this work, we explore the dynamics of entanglement of an isolated quantum system consisting of two time-dependent, coupled harmonic oscillators. Through the use of a numerical method that relies… Expand

Divergence of entanglement entropy in quantum systems: Zero-modes

- Physics, Mathematics
- 2018

To this day, von Neumann definition of entropy remains the most popular measure of quantum entanglement. Much of the literature on entanglement entropy, particularly in the context of field theory,… Expand

Joint entropy of quantum damped harmonic oscillators

- Mathematics
- 2014

We use the dynamical invariant method and a unitary transformation to obtain the exact Schrodinger wave function, ψn(x,t), and calculate for n=0 the time-dependent joint entropy (Leipnik’s entropy)… Expand

Nonequilibrium quantum dynamics of second order phase transitions

- Physics
- 2000

We use the so-called Liouville\char21{}von Neumann (LvN) approach to study the nonequilibrium quantum dynamics of time-dependent second order phase transitions. The LvN approach is a canonical method… Expand

Information theories for time-dependent harmonic oscillator

- Physics
- 2011

Abstract Information theories for the general time-dependent harmonic oscillator are described on the basis of invariant operator method. We obtained entropic uncertainty relation of the system and… Expand

Entanglement dynamics following a sudden quench: an exact solution

- Physics
- 2017

We present an exact and fully analytical treatment of the entanglement dynamics for an isolated system of $N$ coupled oscillators following a sudden quench of the system parameters. The system is… Expand

Quantum quench in non-relativistic fermionic field theory: harmonic traps and 2d string theory

- Physics
- Journal of High Energy Physics
- 2019

Abstract
We investigate a class of exactly solvable quantum quench protocols with a finite quench rate in systems of one dimensional non-relativistic fermions in external harmonic oscillator or… Expand

Dynamics of entanglement and uncertainty relation in coupled harmonic oscillator system: exact results

- Physics, Computer Science
- Quantum Inf. Process.
- 2018

The dynamics of entanglement and uncertainty relation is explored by solving the time-dependent Schrödinger equation for coupled harmonic oscillator system analytically when the angular frequencies… Expand

Bipartite fluctuations as a probe of many-body entanglement

- Physics, Mathematics
- 2012

We investigate in detail the behavior of the bipartite fluctuations of particle number $\hat{N}$ and spin $\hat{S}^z$ in many-body quantum systems, focusing on systems where such U(1) charges are… Expand

Eisenhart lifts and symmetries of time-dependent systems

- Physics, Mathematics
- 2016

Certain dissipative systems, such as Caldirola and Kannai's damped simple harmonic oscillator, may be modelled by time-dependent Lagrangian and hence time dependent Hamiltonian systems with $n$… Expand