Dynamics and entanglement near quantum phase transitions

量子相变附近的动力学和纠缠

• 批准号: RGPIN-2016-06667
• 负责人: WitczakKrempa, William
• 金额: $ 2.33万
• 依托单位: Université de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2018
• 资助国家: 加拿大
• 起止时间: 2018-01-01 至 2019-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=668741
• 关键词: Dynamics; entanglement; near; quantum; phase

Matter changes states by undergoing phase transitions. In our common experience, this occurs as the temperature goes through a threshold, such as water turning into ice at 0 °C. However, more exotic transitions can be realized by first cooling a material down to the lowest accessible temperatures, near absolute zero (−273 °C). There the laws of quantum mechanics governing the behavior of the electrons become dominant, and transitions driven by quantum effects instead of thermal ones occur. My research will target such quantum phase transitions, which can be realized by applying a magnetic field to the material, changing its chemical composition, or by compressing it. For example, some insulating materials possess magnetic order at very low temperatures but when enough mobile charge carriers are added by varying the chemical composition, they become metallic and loose their magnetism. An extraordinary phenomenon occurs near this insulator-to-metal quantum phase transition: the system becomes a superconductor in which the electrons form pairs that travel without resistance. This phenomenon cannot be explained with the standard theory of superconductivity, and remains robust as the material is heated up to ~ 100 °C above absolute zero. Although the underlying mechanism is still not well-understood, evidence suggests that it is connected to the quantum fluctuations of the system in its “confused” state between a magnetic insulator and a metal. ******The theoretical research of my group will shed light on the physical properties of quantum materials in the vicinity of such quantum phase transitions, where novel states of matter emerge. This is a challenging program because the strong fluctuations between the competing phases near these transitions lead to the destruction of long-lived excitations. The “dancing” patterns of the electrons become highly intricate and entangle very distant partners. We will aim to answer the consequential questions: How does a system without long-lived excitations dynamically respond to various perturbations? What are the essential features of its many-body “dancing patterns”, and how can we exploit them to improve numerical modeling of quantum materials? Our research will make use of cutting edge tools in quantum many-body theory, including numerical simulations. We will borrow pertinent insights other disciplines such as quantum information and even string theory.******In the same way that knowledge about ordinary phase transitions like the melting of ice is important to society, knowledge about their quantum counterparts is becoming crucial. Indeed, the understanding of quantum phase transitions holds the promise to explain complex and striking phenomena in cutting edge materials, such as high temperature conductivity. Potential applications of these materials range from the low cost transport of electricity, to robust quantum computers.

物质通过相变改变状态。在我们的共同经验中，这发生在温度通过阈值时，例如水在0 °C时变成冰。然而，更奇特的转变可以通过首先将材料冷却到接近绝对零度（−273 °C）的最低温度来实现。在那里，控制电子行为的量子力学定律占主导地位，量子效应而不是热效应驱动的跃迁发生。我的研究将针对这样的量子相变，这可以通过向材料施加磁场，改变其化学成分或通过压缩来实现。例如，一些绝缘材料在非常低的温度下具有磁性秩序，但当通过改变化学成分添加足够的移动的电荷载体时，它们变成金属并失去磁性。在这种绝缘体到金属的量子相变附近发生了一个不寻常的现象：系统变成了超导体，其中电子形成了无电阻的电子对。这种现象无法用超导的标准理论来解释，并且当材料被加热到绝对零度以上约100 °C时仍然很稳定。虽然其基本机制仍然没有得到很好的理解，但有证据表明，它与磁绝缘体和金属之间的“混乱”状态下系统的量子涨落有关。** 我的小组的理论研究将揭示量子材料在这种量子相变附近的物理性质，在那里出现了新的物质状态。这是一个具有挑战性的计划，因为这些过渡附近的竞争阶段之间的强烈波动导致长期激励的破坏。电子的“舞蹈”模式变得高度复杂，并纠缠在非常遥远的伙伴身上。我们将致力于回答由此产生的问题：一个没有长寿命激励的系统如何动态地响应各种扰动？它的多体“舞蹈模式”的基本特征是什么？我们如何利用它们来改进量子材料的数值模拟？我们的研究将利用量子多体理论的尖端工具，包括数值模拟。我们将借鉴其他学科的相关见解，如量子信息，甚至弦理论。就像冰的融化等普通相变的知识对社会很重要一样，关于它们的量子对应物的知识也变得至关重要。事实上，对量子相变的理解有望解释尖端材料中复杂而惊人的现象，例如高温电导率。这些材料的潜在应用范围从低成本的电力传输到强大的量子计算机。