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We examine the effect of quantum fluctuations in a tunable cold Fermi gas on the propagation of phonons. We show that these fluctuations can be interpreted as inducing a stochastic (acoustic) space-time. The variation in times of flight…

Quantum Gases · Physics 2015-06-03 En-Tsung Hsiang , Da-Shin Lee , Chi-Yong Lin , Ray J. Rivers

The condensates of cold atoms at zero temperature in the tunable binary Bose-Einstein condensate system are studied with the Rabi transition between atomic hyperfine states where the system can be represented by a coupled two-field model of…

High Energy Physics - Theory · Physics 2022-08-09 Wei-Can Syu , Da-Shin Lee , Chi-Yong Lin

We theoretically study a three-dimensional weakly-interacting Bose gas with Raman-induced spin-orbit coupling at finite temperature. By employing a generalized Hartree-Fock-Bogoliubov theory with Popov approximation, we determine a complete…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Xia-Ji Liu , Hui Hu

Generalizing the one-component case, we demonstrate that the propagation of sound waves in two-component Bose-Einstein condensates can also be described in terms of effective sonic geometries under appropriate conditions. In comparison with…

Other Condensed Matter · Physics 2007-05-23 Uwe R. Fischer , Ralf Schützhold

Bosonic gases coupled to a particle reservoir have proven to support a regime of operation where Bose-Einstein condensation coexists with unusually large particle-number fluctuations. Experimentally, this situation has been realized with…

Stabilized by quantum fluctuations, dipolar Bose-Einstein condensates can form self-bound liquidlike droplets in the mean-field unstable regime. However in the Bogoliubov theory, some phonon energies are imaginary in the long-wavelength…

Quantum Gases · Physics 2022-06-07 Fan Zhang , Lan Yin

We present an analogue spacetime model that reproduces the salient features of the most common ansatz for quantum gravity phenomenology. We do this by investigating a system of two coupled Bose-Einstein condensates. This system can be tuned…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stefano Liberati , Matt Visser , Silke Weinfurtner

Phonons in Bose-Einstein condensates propagate as massless scalar particles on top of an emergent acoustic metric. This hydrodynamics/gravity analogy can be exploited to realize acoustic black holes, featuring an event horizon that traps…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Chiara Coviello , Maria Luisa Chiofalo , Dario Grasso , Stefano Liberati , Massimo Mannarelli , Silvia Trabucco

Based on doubly detuned Raman transitions between (meta) stable atomic or molecular states and recently developed atom counting techniques, a detection scheme for sound waves in dilute Bose-Einstein condensates is proposed whose accuracy…

Quantum Physics · Physics 2007-05-23 Ralf Schützhold

The effect of noise induced by gravitons has been investigated using a Bose-Einstein condensate. The gravitational wave perturbation is then considerd as a sum of discrete Fourier modes in the momentum space. Coming to an operatorial…

High Energy Physics - Theory · Physics 2024-07-17 Soham Sen , Sunandan Gangopadhyay

Fluctuations are a key property of both classical and quantum systems. While the fluctuations are well understood for many quantum systems at zero temperature, the case of an interacting quantum system at finite temperature still poses…

Analogue gravity explores how collective excitations in condensed matter systems can reproduce the behavior of fields in curved spacetimes. An important example is the acoustic black holes that can occur for sound in a moving fluid. In…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Adrià Delhom , Luca Giacomelli

We analyze a detailed model of a Bose-Einstein condensate trapped in a ring optical resonator and contrast its classical and quantum properties to those of a Fabry-P{\'e}rot geometry. The inclusion of two counter-propagating light fields…

Quantum Physics · Physics 2011-09-13 Steven K. Steinke , Pierre Meystre

We investigate the effects of quantum fluctuations in a parity-time($\mathcal{PT}$) symmetric two-species Bose-Einstein Condensate(BEC). It is found that the $\mathcal{PT}$-symmetry, though preserved by the macroscopic condensate, can be…

Quantum Gases · Physics 2022-01-26 Xiaoling Cui

We study the evolution of quantum fluctuations in systems known as time crystals, hypothetical systems for which the lowest energy state performs a periodic motion. We first discuss some general properties shared by time crystals, and…

Quantum Physics · Physics 2014-10-10 Esteban Castillo , Benjamin Koch , Gonzalo Palma

Bose-Einstein condensation represents a remarkable phase transition, characterized by the formation of a single quantum subsystem. As a result, the statistical properties of the condensate are highly unique. In the case of a Bose gas, while…

Analogue gravity is based on the simple observation that perturbations propagating in several physical systems can be described by a quantum field theory in a curved spacetime. While phenomena like Hawking radiation are hardly detectable in…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Stefano Finazzi

The fluctuations of a number of particles in the Bose-Einstein condensate are studied in the grand canonical ensemble with an effective single-mode Hamiltonian, which is derived from an assumption that the mode corresponding to the…

Statistical Mechanics · Physics 2007-05-23 Alexander Yu. Cherny

Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

Statistical Mechanics · Physics 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski

We show that the quantum fluctuations associated with the Bogoliubov quasiparticle vacuum can be strongly concentrated inside dark solitons in a trapped Bose Einstein condensate. We identify a finite number of anomalous modes that are…

Condensed Matter · Physics 2009-11-07 C. K. Law , P. T. Leung , M. -C. Chu
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