Theory of Strongly Correlated Systems: An Introduction to Sachdev-Ye-Kitaev Model
暫譯: 強關聯系統理論：Sachdev-Ye-Kitaev模型入門
Jha, Rishabh
- 出版商: Springer
- 出版日期: 2026-07-06
- 售價: $3,750
- 貴賓價: 9.5 折 $3,562
- 語言: 英文
- 頁數: 270
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3032209099
- ISBN-13: 9783032209092
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相關分類:
量子 Quantum
海外代購書籍(需單獨結帳)
相關主題
商品描述
This book provides an analytically tractable framework for exploring strongly correlated quantum systems beyond conventional paradigms such as Landau's Fermi liquid theory. This book offers a pedagogical and self-contained introduction to SYK physics, emphasizing its role in describing strange metals--systems with linear-in-temperature resistivity, Planckian dissipation, and quasiparticle breakdown.
Beginning with an invitation to the SYK paradigm, the text develops both Majorana and complex fermion variants and presents modern many-body tools including large-N formulations, Schwinger-Dyson and Kadanoff-Baym equations, Matsubara and Keldysh formalisms, and nonperturbative contour deformations. These methods are applied to study equilibrium thermodynamics, quantum chaos, quench dynamics, and transport phenomena.
Extensive appendices provide mathematical background and Mathematica(R) implementations for critical exponents, conductivity, and transport across temperature regimes.
Bridging analytical depth with computational practice, this book also highlights the deep connections between the SYK model, black hole thermodynamics, and holographic duality, illustrating how a simple fermionic model offers insight into both condensed matter systems and quantum gravity. It serves as an essential resource for advanced students and researchers in strongly correlated and holographic quantum matter.
商品描述(中文翻譯)
這本書提供了一個可分析的框架，用於探索強相關量子系統，超越傳統範式，如蘭道的費米液體理論。這本書提供了一個教學性且自成體系的SYK物理學介紹，強調其在描述奇異金屬中的角色——這些系統具有與溫度成線性關係的電阻率、普朗克耗散以及準粒子崩潰。
本書從對SYK範式的介紹開始，發展了Majorana和複數費米子變體，並呈現了現代多體工具，包括大-N形式、施温格-戴森方程和卡達諾夫-貝姆方程、松原和凱爾迪什形式，以及非微擾性輪廓變形。這些方法被應用於研究平衡熱力學、量子混沌、急冷動力學和傳輸現象。
廣泛的附錄提供了數學背景和Mathematica(R)實現，用於關鍵指數、導電性和不同溫度範圍內的傳輸。
這本書在分析深度與計算實踐之間架起了橋樑，還突顯了SYK模型、黑洞熱力學和全息對偶性之間的深刻聯繫，說明了一個簡單的費米子模型如何為凝聚態系統和量子引力提供見解。它是強相關和全息量子物質的高級學生和研究人員的重要資源。
作者簡介
Rishabh Jha has worked at the frontiers of high-energy physics and condensed matter theory, with publications spanning black hole thermodynamics to exotic quantum phases of matter. He obtained his doctorate with the highest distinction and the Latin honor summa cum laude for modelling and charting the phase diagram of exotic phases, where he was also the recipient of outstanding doctoral thesis prize by the Dr. Berliner - Dr. Ungewitter foundation. His work on the SYK model has unraveled surprising universalities, particularly concerning the nature of chaos and phase transitions in disordered and nonlocal theories. Intriguingly, the behavior of these exotic strange metals also admits holographic dualities to classical gravity theories in one higher dimension. He has previously authored review lecture notes on the Hamiltonian formulation of general relativity and homogeneous cosmologies, published with SciPost. With significant experience in both teaching and research, he was awarded the DAAD Prize for outstanding international students by the German Academic Exchange Service for his "excellent achievements plus commitment to teaching, supervising, and supporting."
作者簡介(中文翻譯)
Rishabh Jha 在高能物理和凝聚態理論的前沿工作，發表的研究涵蓋了黑洞熱力學到奇異量子相的各個領域。他以最高榮譽和拉丁榮譽 summa cum laude 獲得博士學位，研究主題為建模和繪製奇異相的相圖，並且獲得了 Dr. Berliner - Dr. Ungewitter 基金會頒發的優秀博士論文獎。他在 SYK 模型上的研究揭示了驚人的普遍性，特別是關於無序和非局部理論中的混沌性質和相變化。值得注意的是，這些奇異金屬的行為也承認與一個更高維度的經典重力理論之間的全息對偶關係。他之前曾撰寫有關廣義相對論和均勻宇宙學的哈密頓形式的綜述講義，並與 SciPost 發表。擁有豐富的教學和研究經驗，他因其「卓越的成就以及對教學、指導和支持的承諾」而獲得德國學術交流服務的 DAAD 獎，表彰其傑出的國際學生。
