Thermodynamics at zero temperature: Inequalities for the ground state of a quantum many-body system

被引：0
|
作者：
Il'in, N. [1 ]
Shpagina, E. [2 ,3 ]
Lychkovskiy, O. [1 ,4 ,5 ]
机构：
[1] Skolkovo Inst Sci & Technol, Bolshoy Blvd 30, Moscow 121205, Russia
[2] NRU Higher Sch Econ, Fac Phys, Myasnitskaya 20, Moscow 101000, Russia
[3] Russian Acad Sci, Inst Solid State Phys, Chernogolovka 142432, Russia
[4] Russian Acad Sci, Dept Math Methods Quantum Technol, Steklov Math Inst, Gubkina Str 8, Moscow 119991, Russia
[5] Moscow Inst Phys & Technol, Lab Phys Complex Quantum Syst, Inst Sky Per 9, Dolgoprudnyi 141700, Moscow Region, Russia
来源：
PHYSICS LETTERS A | 2021年 / 414卷
基金：
俄罗斯基础研究基金会;
关键词：
Thermodynamic inequalities; Ground state; Anderson bound; Quantum impurity; Polaron; Bipolaron; LONG-RANGE ORDER; ONE-DIMENSION; STABILITY;
D O I：
10.1016/j.physleta.2021.127637
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that for a single-component many-body system at zero temperature the inequality E-int <= PV holds, where E-int is the interaction energy, P is pressure and V is volume. This inequality is proven under rather general assumptions with the use of Anderson-type bound relating ground state energies of systems with different numbers of particles. We also consider adding impurity particles to the system and derive inequalities on the chemical potential of the impurity and binding energy of the bound state of two impurities. (C) 2021 Elsevier B.V. All rights reserved.
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页数：5
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