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Constrained Quantum Dynamics

Descripción del proyecto

Proporcionar más información sobre la dinámica de sistemas cuánticos fuera de equilibrio

El concepto de equilibrio termodinámico es fundamental para nuestra comprensión de los sistemas que implican la interacción de múltiples partículas. Con todo, recientemente también se han realizado grandes avances experimentales en aras de comprender y estudiar sistemas cuánticos fuertemente interactivos, restringidos y lejos del equilibrio termodinámico. El objetivo principal del proyecto financiado con fondos europeos ConsQuanDyn es desarrollar nuevos métodos teóricos para estudiar sistemas cuánticos restringidos en el régimen de no equilibrio. El estudio de la dinámica de sistemas cuánticos restringidos tiene un gran interés, especialmente en la computación cuántica, ya que estos sistemas pueden ayudarnos a conseguir cúbits topológicos y memorias cuánticas autorreguladas.

Objetivo

Recently, tremendous progress has been made in exploring non-equilibrium dynamics of correlated quantum matter. The project ConsQuanDyn investigates the relaxation dynamics and the dynamical quantum phases, induced by parameter quenches or by periodic drive, in quantum matter with dynamically constrained excitations. Such constrained systems, which can be dual to gauge theories and host exotic topological order, have been recently realized in Rydberg quantum simulators and have a long tradition in condensed matter physics. However, it is an important open challenge to describe and understand their far-from-equilibrium dynamics. The central focus of the project ConsQuanDyn is to develop new concepts and new theoretical methods to study constrained quantum systems far from thermal equilibrium.

The project has three principal objectives each of which would represent a major contribution to the field:
(O1) To identify glassy dynamics and hydrodynamic transport in constrained quantum lattice gas, quantum dimer and fracton models.
(O2) To demonstrate information scrambling and entanglement growth in constrained Hilbert spaces.
(O3) To predict exotic dynamical quantum phases and to study their dynamical criticality both in quenched and in periodically driven constrained systems.

To successfully meet our ambitious objectives, my team and I will develop two complementary theoretical approaches based on exact numerical techniques and on non-equilibrium field theory. This allows us to understand fundamental dynamical properties of constrained quantum systems and to guide future experiments. Constrained quantum systems may realize topological quantum bits and self-correcting quantum memories. Due to the international effort of inventing new quantum technology, that inherently operates out of equilibrium, it is now the right time to foster a deep understanding of the non-equilibrium dynamics in constrained quantum matter, which is the central goal of the project ConsQuanDyn.

Régimen de financiación

ERC-STG - Starting Grant

Institución de acogida

TECHNISCHE UNIVERSITAET MUENCHEN
Aportación neta de la UEn
€ 1 498 750,00
Dirección
Arcisstrasse 21
80333 Muenchen
Alemania

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Región
Bayern Oberbayern München, Kreisfreie Stadt
Tipo de actividad
Higher or Secondary Education Establishments
Enlaces
Coste total
€ 1 498 750,00

Beneficiarios (1)