In this paper, we demonstrate that the Bose-Einstein Condensate (BEC) phenomenon—long attributed to quantum wavefunction collapse—is a deterministic hydrodynamic phase transition within the superfluid vacuum matrix. By reclassifying the vacuum as a high-density, compressible superfluid, we derive the critical temperature ( $T_c$ ) for Rb-87 atoms using the Core Vacuum Constant ( $\chi_v$ ). Our model confirms the 1995 MIT experimental data with 99.4% accuracy, rendering standard quantum wave-function collapse models unnecessary. This work establishes the Bose-Einstein Condensate as a stable "Hydrodynamic Phase-Lock" point within the superfluid vacuum architecture.In this paper, we demonstrate that the Bose-Einstein Condensate (BEC) phenomenon—long attributed to quantum wavefunction collapse—is a deterministic hydrodynamic phase transition within the superfluid vacuum matrix. By reclassifying the vacuum as a high-density, compressible superfluid, we derive the critical temperature ($T_c$) for Rb-87 atoms using the Core Vacuum Constant ($\chi_v$). Our model confirms the 1995 MIT experimental data with 99.4% accuracy, rendering standard quantum wave-function collapse models unnecessary. This work establishes the Bose-Einstein Condensate as a stable "Hydrodynamic Phase-Lock" point within the superfluid vacuum architecture.

Jul 4, 20260 citations

Quantum Hydrodynamics in Bose-Einstein Condensates

Peter Engels

Bulletin of the American Physical SocietyMay 20, 20060 citations

Hydrodynamics of Superfluid Bose Gases in an Optical Lattice at Finite Temperatures

Satoru Konabe, Tetsuro Nikuni

Starting from an effective action for the order parameter field, we derive a coupled set of generalized hydrodynamic equations for a Bose condensate in an optical lattice at finite temperatures. Using the linearized hydrodynamic equations, we study the microscopic mechanism of the Landau instability due to the collisional damping process between condensate and noncondensate atoms. It is shown that the Landau criterion of the superfluidity for the uniform system is modified due to the presence of the periodic optical lattice potential. 1.Starting from an effective action for the order parameter field, we derive a coupled set of generalized hydrodynamic equations for a Bose condensate in an optical lattice at finite temperatures. Using the linearized hydrodynamic equations, we study the microscopic mechanism of the Landau instability due to the collisional damping process between condensate and noncondensate atoms. It is shown that the Landau criterion of the superfluidity for the uniform system is modified due to the presence of the periodic optical lattice potential. 1.

Jan 1, 20062 citations

Bose–Einstein condensation and superfluidity

Bipin R. Desai

Cambridge University Press eBooksDec 3, 200945 citations

Fundamentals of superfluid hydrodynamics in Bose-condensed systems

Tsubota Makoto, Kasamatsu Makoto

Abstract Chapter 2 describes the basic knowledge of Bose-condensed systems in order to study the quantum hydrodynamics for both the superfluid helium and the atomic-gas BECs in the following sections. Starting from the field theoretical formulation, we will first give a self-contained explanation of the derivation of the most fundamental GP equation for weakly interacting Bose gases at zero temperature. We will also highlight the theoretical treatment for incorporating the concept of elementary excitations to describe low-energy excitations of Bose systems, the definition of normal and superfluid components, and eventually the celebrated model of two-fluid hydrodynamics. Finally, the microscopic structure and dynamics of topological excitations obtained from the GP equation are discussed by exemplifying solitons, vortex lines, and vortex rings.Abstract Chapter 2 describes the basic knowledge of Bose-condensed systems in order to study the quantum hydrodynamics for both the superfluid helium and the atomic-gas BECs in the following sections. Starting from the field theoretical formulation, we will first give a self-contained explanation of the derivation of the most fundamental GP equation for weakly interacting Bose gases at zero temperature. We will also highlight the theoretical treatment for incorporating the concept of elementary excitations to describe low-energy excitations of Bose systems, the definition of normal and superfluid components, and eventually the celebrated model of two-fluid hydrodynamics. Finally, the microscopic structure and dynamics of topological excitations obtained from the GP equation are discussed by exemplifying solitons, vortex lines, and vortex rings.

Dec 2, 20250 citations

Hydrodynamics of a Superfluid Condensate.

J. S. Herold

Jan 1, 19690 citations

T_c

) for Rb-87 atoms using the Core Vacuum Constant (

\chi_v

). Our model confirms the 1995 MIT experimental data with 99.4% accuracy, rendering standard quantum wave-function collapse models unnecessary. This work establishes the Bose-Einstein Condensate as a stable "Hydrodynamic Phase-Lock" point within the superfluid vacuum architecture.