# Bounds in nonequilibrium quantum dynamics

@article{Gong2022BoundsIN, title={Bounds in nonequilibrium quantum dynamics}, author={Zongping Gong and Ryusuke Hamazaki}, journal={International Journal of Modern Physics B}, year={2022} }

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-body quantum systems. We primarily focus on closed quantum systems but will also mention some related results for open quantum systems and classical stochastic systems. We start from the speed limits, the universal bounds on the speeds of (either quantum or classical) dynamical evolutions. We then turn to review the bounds that address how good and how long would a quantum system equilibrate or thermalize…

## 8 Citations

### Exact universal bounds on quantum dynamics and fast scrambling

- Physics
- 2022

Quantum speed limits such as the Mandelstam-Tamm or Margolus-Levitin bounds oﬀer a quan-titative formulation of the energy-time uncertainty principle that constrains dynamics over short times. We…

### Quantum speed limits on operator flows and correlation functions

- PhysicsQuantum
- 2022

Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We…

### Revealing microcanonical phases and phase transitions of strongly correlated electrons via time-averaged classical shadows

- Physics
- 2022

Quantum computers and simulators promise to enable the study of strongly correlated quantum systems. Yet, surprisingly, it is hard for them to compute ground states. They can, however, efficiently…

### Optimal Hamiltonian simulation for time-periodic systems

- Physics
- 2022

The implementation of time-evolution operators U ( t ), called Hamiltonian simulation, is one of the most promising usage of quantum computers. For time-independent Hamiltonians, qubitization has…

### Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth

- Physics, Mathematics
- 2023

Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a process to unfold by using a distance between quantum states and identifying the speed of evolution or an upper…

### Matrix product operator approach to nonequilibrium Floquet steady states

- PhysicsPhysical Review B
- 2022

We present a numerical method to simulate non-equilibrium Floquet steady states of one-dimensional periodically-driven (Floquet) many-body systems coupled to a dissipative bath, called open-system…

### Maxwell's Demon for Quantum Transport

- Physics
- 2023

Maxwell's demon can be utilized to construct quantum information engines. While most of the existing quantum information engines harness thermal fluctuations, quantum information engines that utilize…

### Optimal/Nearly-optimal simulation of multi-periodic time-dependent Hamiltonians

- Physics, Computer Science
- 2023

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