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Teoría macroscópica de correlaciones multipartitas en sistemas cuánticos abiertos invariantes por permutación

Krzysztof Ptaszyński^1,2, Maciej Chudak¹, Massimiliano Esposito²

¹Institute of Molecular Physics, Polish Academy of Sciences, Mariana Smoluchowskiego 17, 60-179 Poznań, Poland.

Physical review. E

|December 23, 2025

Resumen

Desarrollamos un método para analizar la información mutua multipartita en sistemas cuánticos. Se produce un escalado extensivo robusto de esta medida de información en sistemas con atractores dependientes del tiempo, a diferencia de aquellos que se relajan a puntos fijos.

Área de la Ciencia:

Teoría de la Información Cuántica
Mecánica Estadística
Física de Muchos Cuerpos

Sus antecedentes:

Las cantidades informacional-teóricas son cruciales para caracterizar las correlaciones en sistemas cuánticos.
La información mutua multipartita sirve como un parámetro de orden universal para la sincronización.
Es esencial comprender el comportamiento en estado estacionario en sistemas cuánticos abiertos.

Objetivo del estudio:

Presentar un método novedoso para determinar la información mutua multipartita en estado estacionario en sistemas de N unidades.
Investigar las propiedades de escalado de esta medida de información bajo evolución Markoviana invariante por permutación de unidades.
Extender los hallazgos clásicos sobre el escalado de la información mutua a sistemas cuánticos.

Principales métodos:

Desarrollado un marco teórico para analizar la información mutua multipartita en estado estacionario.
Investigado sistemas que experimentan evolución Markoviana invariante bajo permutaciones de unidades.
Aplicado el método al modelo de Lipkin-Meshkov-Glick impulsado-disipativo.

Principales resultados:

Demostrado que el escalado extensivo de la información mutua no es posible ni robusto para sistemas que alcanzan puntos fijos.
Demostrado que se logra un escalado extensivo robusto para sistemas que se relajan a atractores dependientes del tiempo (por ejemplo, ciclos límite).
Ilustrada la aplicabilidad del método en un modelo cuántico paradigmático.

Conclusiones:

La naturaleza de los atractores en los sistemas cuánticos dicta la robustez del escalado de información mutua extensiva.
Este trabajo proporciona una nueva herramienta para analizar correlaciones cuánticas macroscópicas.
Los hallazgos ofrecen información sobre la sincronización cuántica y las transiciones de fase.

Palabras clave:

información mutua sistemas cuánticos abiertos dinámica de muchos cuerpos escalado extensivo atractores dependientes del tiempo puntos fijos sincronización cuántica transiciones de fase cuántica

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