AI 中文总结
该研究探讨了强磁场与刚性旋转下带电玻色气体的弱玻色-爱因斯坦凝聚，通过量子场论方法推导热力学势，发现旋转不改变弱BEC定性特征，还揭示了磁场与旋转对玻色子物质磁响应的竞争作用。
AI 中文摘要
我们研究了同时处于强磁场和刚性旋转作用下的无相互作用带电玻色气体的弱玻色-爱因斯坦凝聚（BEC）场景。利用有限温度量子场论的标准方法和广义Fock-Schwinger形式，我们在非相对论近似和最低朗道能级近似下推导了对应的热力学势。对有效化学势的适当修改给出了自洽的热力学描述，并自然引入了磁旋转逸度。在高温近似下，刚性旋转仅通过托尔曼-埃伦费斯特局域温度进入热力学。我们证明，刚性旋转不会在定性上修改由朗道量子化诱导的弱BEC场景。在现象学相关的整个温度范围内，磁旋转逸度保持低于1，而基态布居数的连续演化和比热中无奇异性为弱BEC的存在提供了互补的信号。我们进一步研究了与夸克-胶子等离子体和中子星物质相关条件下系统的热力学性质，结果表明旋转效应在前者中显著得多。我们的分析揭示了一种新的对刚性旋转的磁响应：磁场增强抗磁性，而旋转则使其向顺磁性转变。这种行为反映了磁量子化与旋转轨道运动之间的竞争，强调了旋转在塑造玻色子物质磁响应中的作用。
英文摘要
We investigate the weak Bose-Einstein condensation (BEC) scenario of a noninteracting charged Bose gas simultaneously subjected to a strong magnetic field and rigid rotation. Using standard methods of finite-temperature quantum field theory and the generalized Fock-Schwinger formalism, we derive the corresponding thermodynamic potential in the nonrelativistic and lowest Landau level approximations. An appropriate modification of the effective chemical potential yields a consistent thermodynamic description and naturally introduces a magnetorotational fugacity. Within the high-temperature approximation, rigid rotation enters the thermodynamics solely through the Tolman-Ehrenfest local temperature. We demonstrate that rigid rotation does not qualitatively modify the weak BEC scenario induced by Landau quantization. The magnetorotational fugacity remains below unity throughout the phenomenologically relevant temperature range, while the continuous evolution of the ground state population and the absence of a singularity in the specific heat provide complementary signatures of the persistence of weak BEC. We further study the thermodynamic properties of the system under conditions relevant to quark-gluon plasma and neutron-star matter. We show that rotational effects are much more pronounced in the former. Our analysis reveals a new magnetic response to rigid rotation: while magnetic fields enhance diamagnetism, rotation drives it toward paramagnetism. This behavior reflects a competition between magnetic quantization and rotational orbital motion, emphasizing the role of rotation in shaping the magnetic response of bosonic matter.
Comments20 pages, 1 table, 13 figues
