Title: Non-Equilibrium Thermodynamics of Quantum Systems

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum systems exhibit unique behavior, often defying classical expectations. Their dynamics are profoundly shaped by the interplay of quantum and thermal fluctuations, making precise predictions challenging. This paper explores the non-equilibrium thermodynamics of quantum systems, focusing on the development of a novel framework to address this challenge. We propose a 'quantum-thermal coupling' algorithm, designed to capture the complex dynamics of these systems, offering a paradigm shift in our understanding of quantum phenomena in a dynamically changing environment. The core claim is to provide a robust and adaptable approach for modeling and predicting the behavior of quantum systems in non-equilibrium conditions, considering the intricate interplay of quantum and thermal effects. This work builds upon existing research in quantum mechanics and thermodynamics, addressing limitations in current models and establishing a foundational step towards a more complete understanding of these systems.

DOI: 10.5281/zenodo.22204811

Related papers

Title: Non-Equilibrium Thermodynamics for Quantum Data Analysis

Jincheng Zhang

Quantum data analysis presents unique challenges due to the inherent sensitivity to initial conditions and the complex, often non-linear, dynamics of quantum systems. Conventional statistical methods often struggle to effectively capture these intricate patterns and correlations, particularly when dealing with systems exhibiting phenomena like quantum entanglement and superposition. This research proposes a novel framework leveraging non-equilibrium thermodynamics to provide a deeper understanding of these dynamics, aiming to identify emergent correlations that are difficult to detect using traditional approaches. We develop a system of differential equations that represent the evolution of quantum states, incorporating thermodynamic principles to model the system's state space. The primary goal is to shift the focus from simple equilibrium states to those characterized by active, self-organized structures. This approach will provide a more robust and insightful analysis of quantum data, potentially unlocking novel insights into the behavior of quantum systems and offering a more accurate representation of their underlying dynamics. This work will explore how non-equilibrium thermodynamics can be employed to enhance our ability to understand and interpret the complex correlations within quantum data.

Aug 31, 20260 citations

Title: Quantum-Enhanced Non-Equilibrium Thermodynamics (QENET)

Jincheng Zhang

Quantum-Enhanced Non-Equilibrium Thermodynamics (QENET) presents a novel theoretical framework for investigating complex thermodynamic phenomena, specifically focusing on non-equilibrium systems. This work proposes a new approach leveraging quantum mechanics to predict and control phase transitions and critical phenomena. The core mechanism centers around the application of quantum entanglement and superposition to model the dynamic evolution of a system from a non-equilibrium state. We argue that incorporating quantum effects into thermodynamics offers a significant departure from classical models, potentially unlocking new insights into fundamental properties of matter and systems. This research utilizes a dynamically evolving quantum state representation to capture the intricate interplay between quantum entanglement and macroscopic thermodynamic behavior. This approach will demonstrate the capability to predict and manipulate phase transitions and critical phenomena through the judicious application of quantum principles.

Sep 3, 20260 citations

Title: Deterministic Quantum Simulation of Non-Equilibrium Systems

Jincheng Zhang

This paper presents a novel deterministic quantum simulation method designed to accurately model complex non-equilibrium systems, offering a significant advancement over existing approaches. The core claim is the creation of a technique capable of simulating these systems with a guaranteed level of fidelity, facilitating a deeper understanding of their dynamics. This method leverages a time-evolving simulation, dynamically adjusting simulation parameters based on the system's state, addressing a major limitation in current quantum simulation – stability challenges. The research explores and validates the effectiveness of this technique through a series of simulations of various non-equilibrium systems, demonstrating improved accuracy and robustness compared to traditional methods. We provide a detailed explanation of the core mechanism and discuss the potential implications for various scientific disciplines.

Sep 1, 20260 citations

Title: Quantum-Classical Resonance in Non-Linear Systems

Jincheng Zhang

This paper explores the intricate relationship between quantum and classical systems, particularly focusing on the resonance phenomenon and its dynamics. We propose a novel mathematical framework to quantitatively analyze this interplay, leveraging a model of non-linear dynamics intrinsically driven by quantum fluctuations. The core claim is to develop theorems regarding the resonance frequency, demonstrating a unified approach to understanding this complex interplay. The work addresses the limitations of current models by providing a more comprehensive and mathematically rigorous framework for analyzing non-linear systems exhibiting resonance. This research offers a significant step towards a deeper understanding of the fundamental physics underlying these phenomena.

Aug 31, 20260 citations

Title: Quantum-Classical Correlation of Complex Systems

Jincheng Zhang

Quantum-classical systems exhibit a profound and often complex interplay, demanding sophisticated methodologies for analysis. This paper proposes a novel approach to quantifying the correlation between these systems – specifically, focusing on the interplay between entanglement and information flow – through a hybrid modeling framework. We present a new measure of correlation, leveraging the distinct characteristics of both quantum and classical realms, designed to capture the nuanced dynamics of this interaction. The core mechanism involves modeling the complex system using a hybrid approach, integrating quantum and classical dynamics, and subsequently developing a novel measure of correlation. This work addresses the limitations of existing methods by offering a more comprehensive and insightful understanding of this critical interplay. The exploration of this correlation will contribute to advancements in quantum information processing and fundamental physics.

Aug 31, 20260 citations

Title: Algorithmic Quantum Simulation of Complex Dynamical Systems

Jincheng Zhang

Quantum simulation holds immense promise for understanding and manipulating complex dynamical systems – phenomena ranging from fluid dynamics and climate modeling to protein folding and the behavior of complex chemical reactions. However, current simulation techniques face significant limitations, particularly when dealing with high-dimensional systems. This paper introduces an algorithmic quantum simulation framework, centered on a novel 'Quantum Monte Carlo' algorithm leveraging quantum entanglement to accelerate the solution of these systems, offering a fundamentally new approach to complex dynamics analysis. The core claim is to create a class of quantum algorithms designed to efficiently simulate and analyze complex dynamical systems, with a particular focus on uncovering critical patterns and dynamics that are difficult to discern with classical methods. This work explores the potential of entanglement as a key mechanism for accelerating the simulation process and provides a foundational outline for a new generation of quantum algorithms tailored for these challenging problems.

Aug 31, 20260 citations