As we delve deeper into the quantum world, the importance of topology in understanding and manipulating quantum states becomes increasingly clear.
隨著我們深入量子世界,拓撲在理解和操縱量子態(tài)中的重要性變得越來越明顯。
The robustness of topological states against local perturbations is a testament to the power of topology in protecting quantum information.
拓撲態(tài)對局部擾動的魯棒性是拓撲在保護量子信息方面力量的一個證明。
In the search for new quantum materials, the role of topology cannot be overstated; it is a key to unlocking the mysteries of the quantum realm.
在尋找新的量子材料時,拓撲的作用不可夸大;它是解開量子領(lǐng)域奧秘的關(guān)鍵。
The study of topological phases of matter is not just about discovering new materials; it's about uncovering the fundamental principles that govern the quantum world.
對物質(zhì)拓撲相的研究不僅僅是發(fā)現(xiàn)新材料;它是關(guān)于揭示支配量子世界的基本原理。
Topological insulators are a prime example of how theoretical predictions can lead to experimental discoveries that reshape our understanding of the physical world.
拓撲絕緣體是理論預(yù)測如何導致實驗發(fā)現(xiàn)并重塑我們對物理世界理解的一個典型例子。
The interplay between topology and quantum mechanics is a rich field of study that continues to surprise us with its depth and complexity.
拓撲和量子力學之間的相互作用是一個豐富的研究領(lǐng)域,它以其深度和復(fù)雜性不斷給我們帶來驚喜。
Exploring the topological aspects of electronic systems not only deepens our understanding of quantum mechanics but also paves the way for revolutionary technologies.
探索電子系統(tǒng)的拓撲方面不僅加深了我們對量子力學的理解,還為革命性技術(shù)鋪平了道路。
The beauty of topological insulators lies in their robustness; their surface states are protected by symmetry and topology, making them immune to certain types of disorder.
拓撲絕緣體的美在于它們的魯棒性;它們的表面態(tài)受到對稱性和拓撲的保護,使它們對某些類型的無序免疫。
In the realm of quantum materials, the concept of topology provides a powerful lens through which we can understand and predict new phases of matter.
在量子材料的領(lǐng)域中,拓撲的概念提供了一個強大的透鏡,通過它我們可以理解和預(yù)測新的物質(zhì)相。
The discovery of topological insulators has opened up a new frontier in condensed matter physics, where the interplay between topology and symmetry leads to novel quantum states of matter.
拓撲絕緣體的發(fā)現(xiàn)開啟了凝聚態(tài)物理學的新前沿,其中拓撲和對稱性之間的相互作用導致了新的量子物質(zhì)狀態(tài)。