Maximum Energy Growth Rate in Dilute Quantum Gases

نویسندگان

چکیده

In this Letter we study how fast the energy density of a quantum gas can increase in time, when interatomic interaction characterized by $s$-wave scattering length ${a}_{s}$ is increased from zero with arbitrary time dependence. We show that, at short most as $\sqrt{t}$, which be achieved dependence also proportional to and especially, universal maximum growth rate reached varies $2\sqrt{\ensuremath{\hbar}t/(\ensuremath{\pi}m)}$. If faster or slower than it is, respectively, proximate quench process adiabatic process, both result rate. These results are obtained analyzing dynamics short-range behavior many-body wave function contact, confirmed numerically solving an example interacting bosons time-dependent Bogoliubov theory. verified experimentally ultracold atomic gases.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Anisotropic pseudopotential for polarized dilute quantum gases

An anisotropic pseudopotential arising in the context of collisions of two particles polarized by an external field is rigorously derived and its properties are investigated. Such a low-energy pseudopotential may be useful in describing collective properties of dilute quantum gases, such as molecules polarized by an electric field or metastable P2 atoms polarized by a magnetic field. The pseudo...

متن کامل

Energy and structure of dilute hard- and soft-sphere gases

F. Mazzanti, A. Polls, and A. Fabrocini Departament d’Electrònica, Enginyeria i Arquitectura La Salle, Pg. Bonanova 8, Universitat Ramon Llull, E-08022 Barcelona, Spain Departament d’Estructura i Constituents de la Matèria, Diagonal 645, Universitat de Barcelona, E-08028 Barcelona, Spain Dipartimento di Fisica ‘‘E. Fermi,’’ Università di Pisa, and INFN, Sezione di Pisa, Via Buonarroti, 2, I-561...

متن کامل

Dilute Fermi and Bose Gases

We give a unified perspective on the properties of a variety of quantum liquids using the theory of quantum phase transitions. A central role is played by a zero density quantum critical point which is argued to control the properties of the dilute gas. An exact renormalization group analysis of such quantum critical points leads to a computation of the universal properties of the dilute Bose g...

متن کامل

Superfluidity in Dilute Trapped Bose Gases

A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to twisted boundary conditions in a box. We are able to carry out this program in the case of a dilute interacting Bose gas in a trap. We prove that a gas with repulsive interactions is 100% superfluid in the dilute limit...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review Letters

سال: 2021

ISSN: ['1079-7114', '0031-9007', '1092-0145']

DOI: https://doi.org/10.1103/physrevlett.126.240401