Tesi etd-06202026-101106 |
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Tipo di tesi
Tesi di laurea magistrale
URN
etd-06202026-101106
Titolo
Quantum Quench Dynamics from Increasingly Entangled Initial States in the XXZ Model
Dipartimento
FISICA
Corso di studi
FISICA
Relatori
.
relatore Prof. Alba, Vincenzo
Parole chiave
- 1D
- Algebraic Bethe ansatz
- Bethe ansatz
- Bipartitioning protocol
- Coordinate Bethe ansatz
- Crosscap state
- DMRG
- Entanglement
- Entanglement dynamics
- Exactly solvable models
- Generalized Gibbs ensemble
- Generalized hydrodynamics
- GHD
- Heisenberg model
- Highly entangled
- Inhomogeneous quench
- Integrability
- Integrable models
- Interacting models
- Long random states
- Many-body
- Matrix product states
- MPS
- Multiplets
- One-dimensional
- Out-of-equilibrium dynamics
- Purification
- Quantum inverse scattering method
- Quasiparticle picture
- Quench
- Rainbow state
- Random states
- Relaxation
- Species
- Statistical physics
- String-charge duality
- tDMRG
- Theoretical physics
- Thermalization
- Thermodynamic Bethe ansatz
- Transport
- XX model
- XXX model
- XXZ model
Data inizio appello
20/07/2026
Consultabilità
Completa
Riassunto (Inglese)
The emergence of statistical ensembles from the unitary evolution of isolated quantum systems is one of the most fundamental conundrums of Statistical Physics. One of the main avenues for its investigation is the out-of-equilibrium dynamics in many-body 1D quantum systems, and in particular the study of thermalization in generic models, or relaxation to a generalized Gibbs ensemble in integrable models.
We consider quenches in the XXZ model. Our analysis relies on the thermodynamic and algebraic Bethe ansatz, generalized hydrodynamics, and the quasiparticle picture.
Until recently, in integrable quenches, low-entangled initial states have been the primary choice. However, highly entangled initial states are attracting growing interest. We define a family of states with increasing entanglement while preserving macroscopic homogeneity. They are inspired by the rainbow state and we call them 2n-rainbow states owing to their 2n-site periodicity.
A relatively recent conjecture states that, in the XXX model, random states exhibit local stationary states approaching infinite temperature as their unit cell grows.
Given the similarity between such random states and the 2n-rainbow states, the central question addressed in our work is: does the 2n-rainbow state, as n grows, thermalize to infinite temperature in the XXZ model?
We provide analytical and numerical evidence supporting this scenario.
Moreover, we obtain some nice results concerning the entanglement dynamics.
We consider quenches in the XXZ model. Our analysis relies on the thermodynamic and algebraic Bethe ansatz, generalized hydrodynamics, and the quasiparticle picture.
Until recently, in integrable quenches, low-entangled initial states have been the primary choice. However, highly entangled initial states are attracting growing interest. We define a family of states with increasing entanglement while preserving macroscopic homogeneity. They are inspired by the rainbow state and we call them 2n-rainbow states owing to their 2n-site periodicity.
A relatively recent conjecture states that, in the XXX model, random states exhibit local stationary states approaching infinite temperature as their unit cell grows.
Given the similarity between such random states and the 2n-rainbow states, the central question addressed in our work is: does the 2n-rainbow state, as n grows, thermalize to infinite temperature in the XXZ model?
We provide analytical and numerical evidence supporting this scenario.
Moreover, we obtain some nice results concerning the entanglement dynamics.
Riassunto (Italiano)
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