Periodic Reporting for period 1 - HEPIQ (Hydrodynamics and entropy production in low-dimensional quantum systems)
Reporting period: 2022-03-01 to 2024-08-31
In recent years, the exploration of quantum non-equilibrium has emerged as a central focus of scientific research, marking the beginning of a new era in quantum technology and theoretical physics. Understanding these systems presents a formidable challenge, as quantum states exist within an exponentially vast space, far beyond the storage capacities of classical computers. Even when a quantum system begins in a simple state, it typically evolves rapidly into an exponentially complex one through fascinating processes like quantum information scrambling, entanglement, and randomization. The study of these dynamics is now a key topic in quantum physics, bridging technological challenges related to quantum computing with profound investigations into black holes and their intrinsic quantum fluctuations.
As quantum materials and devices transition from theoretical constructs to practical applications, mastering the dynamics of many-body quantum systems in non-equilibrium states becomes essential.
These systems, characterized by strong interactions and deep quantum effects, are crucial for advancing fields such as quantum computing, encryption, and communication technologies.
Our project is committed to developing state-of-the-art theoretical tools and computational techniques to better simulate and understand these complex systems under non-standard conditions.
Our goals include crafting efficient theoretical models to uncover new non-equilibrium phases in quantum systems, investigating how quantum information persists or dissipates over time, and explaining how classical-like behaviors can emerge from quantum dynamics on a macroscopic scale.
Specifically, we explore questions such as: What is a quantum shock wave? How are entanglement and quantum scrambling related to fluid turbulence and entropy production in non-linear systems? How can quantum information be disentangled into classical fluctuations and true quantum effects?
By providing a detailed examination of non-equilibrium phenomena that spans both quantum and classical physics, we aim to deepen our understanding of systems operating outside of equilibrium. The insights and tools developed through this project have the potential to transform our understanding of quantum mechanics and classical dynamics profoundly. This could lead to innovative computational strategies and the discovery of new states of matter. Ultimately, the theoretical advances we make are poised to revolutionize the management of quantum information, with significant implications for the future of quantum computing and communications. This is not just a step forward in science—it’s a leap toward our quantum future.
As quantum materials and devices transition from theoretical constructs to practical applications, mastering the dynamics of many-body quantum systems in non-equilibrium states becomes essential.
These systems, characterized by strong interactions and deep quantum effects, are crucial for advancing fields such as quantum computing, encryption, and communication technologies.
Our project is committed to developing state-of-the-art theoretical tools and computational techniques to better simulate and understand these complex systems under non-standard conditions.
Our goals include crafting efficient theoretical models to uncover new non-equilibrium phases in quantum systems, investigating how quantum information persists or dissipates over time, and explaining how classical-like behaviors can emerge from quantum dynamics on a macroscopic scale.
Specifically, we explore questions such as: What is a quantum shock wave? How are entanglement and quantum scrambling related to fluid turbulence and entropy production in non-linear systems? How can quantum information be disentangled into classical fluctuations and true quantum effects?
By providing a detailed examination of non-equilibrium phenomena that spans both quantum and classical physics, we aim to deepen our understanding of systems operating outside of equilibrium. The insights and tools developed through this project have the potential to transform our understanding of quantum mechanics and classical dynamics profoundly. This could lead to innovative computational strategies and the discovery of new states of matter. Ultimately, the theoretical advances we make are poised to revolutionize the management of quantum information, with significant implications for the future of quantum computing and communications. This is not just a step forward in science—it’s a leap toward our quantum future.
Research Overview:
Over the past two years, our team has achieved significant advancements in quantum physics, focusing on several pioneering research areas:
• Turbulent Thermalization in Quasi-Integrable Models:
We have uncovered novel turbulent behaviors in non-equilibrium one-dimensional systems, revealing distinct phases that delay thermalization. These findings challenge established theories and open up new avenues for experimental exploration in one-dimensional fluid dynamics.
• Deep Thermalization and Entropy Production in Quantum Systems:
Our work has explored the intricate thermalization properties and entropy production in quantum systems, utilizing models that incorporate interactions among random fermions. This approach has deepened our understanding of quantum chaos and the breakdown of quantum integrability.
• Innovative Approaches in Perturbation Theory for 1D Integrable Models:
We are developing novel methodologies for perturbation theory in one-dimensional interacting models. These approaches offer greater simplicity and applicability compared to traditional methods, with the potential to reshape theoretical research in quantum physics. Integrable models serve as critical platforms for studying strongly interacting systems, particularly under strongly out-of-equilibrium conditions.
• Universality Classes of Transport Dynamics:
Our research has identified new classes of non-equilibrium steady states that exhibit anomalous transport behaviors in spin chains. These results challenge conventional perspectives and hold promise for experimental application through advanced microscopy techniques.
• Low-Temperature Dynamics, Hydrodynamics, and Quantum Field Theory:
We have made substantial early contributions to the application of hydrodynamic theories to quantum systems at low temperatures. This includes the development of a comprehensive theory of quantum ripples in shock waves, offering practical insights for cold atom and nanowire applications.
Publications and Dissemination:
Our research has resulted in multiple high-impact publications detailing our theoretical and experimental contributions, solidifying our position at the forefront of quantum physics. Additionally, we have organized three conferences—two focused on open quantum systems in non-equilibrium conditions and one addressing emerging trends in non-equilibrium quantum dynamics.
Over the past two years, our team has achieved significant advancements in quantum physics, focusing on several pioneering research areas:
• Turbulent Thermalization in Quasi-Integrable Models:
We have uncovered novel turbulent behaviors in non-equilibrium one-dimensional systems, revealing distinct phases that delay thermalization. These findings challenge established theories and open up new avenues for experimental exploration in one-dimensional fluid dynamics.
• Deep Thermalization and Entropy Production in Quantum Systems:
Our work has explored the intricate thermalization properties and entropy production in quantum systems, utilizing models that incorporate interactions among random fermions. This approach has deepened our understanding of quantum chaos and the breakdown of quantum integrability.
• Innovative Approaches in Perturbation Theory for 1D Integrable Models:
We are developing novel methodologies for perturbation theory in one-dimensional interacting models. These approaches offer greater simplicity and applicability compared to traditional methods, with the potential to reshape theoretical research in quantum physics. Integrable models serve as critical platforms for studying strongly interacting systems, particularly under strongly out-of-equilibrium conditions.
• Universality Classes of Transport Dynamics:
Our research has identified new classes of non-equilibrium steady states that exhibit anomalous transport behaviors in spin chains. These results challenge conventional perspectives and hold promise for experimental application through advanced microscopy techniques.
• Low-Temperature Dynamics, Hydrodynamics, and Quantum Field Theory:
We have made substantial early contributions to the application of hydrodynamic theories to quantum systems at low temperatures. This includes the development of a comprehensive theory of quantum ripples in shock waves, offering practical insights for cold atom and nanowire applications.
Publications and Dissemination:
Our research has resulted in multiple high-impact publications detailing our theoretical and experimental contributions, solidifying our position at the forefront of quantum physics. Additionally, we have organized three conferences—two focused on open quantum systems in non-equilibrium conditions and one addressing emerging trends in non-equilibrium quantum dynamics.
We have already delivered groundbreaking results that surpass the existing state of the art. As we look to the future, the primary challenge is to seamlessly integrate our research findings into contemporary quantum platforms and experimental settings. Achieving this integration will solidify our scientific advancements, transforming them into substantial contributions to the ongoing technological pursuit of advanced quantum devices. This effort is not just about maintaining momentum; it's about leading the charge in the quantum revolution, ensuring that our theoretical breakthroughs have a profound impact on practical applications. Our commitment to pioneering these advancements highlights our dedication to not only keeping pace with but also setting new standards in the realm of quantum technology.