Free Fall of a Quantum Many-Body System
- URL: http://arxiv.org/abs/2009.03744v2
- Date: Sun, 31 Jul 2022 10:24:46 GMT
- Title: Free Fall of a Quantum Many-Body System
- Authors: Andrea Colcelli, Giuseppe Mussardo, German Sierra, Andrea Trombettoni
- Abstract summary: We show that the problem can be nicely simplified both for a single particle and for general many-body systems.
It is instructive to see that the same procedure can be used for many-body systems subjected to an external gravitational potential.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The quantum version of the free fall problem is a topic often skipped in
undergraduate quantum mechanics courses because its discussion usually requires
wavepackets built on the Airy functions -- a difficult computation. Here, on
the contrary, we show that the problem can be nicely simplified both for a
single particle and for general many-body systems by making use of a gauge
transformation that corresponds to a change of reference frame from the
laboratory frame to the one comoving with the falling system. Using this
approach, the quantum mechanics problem of a particle in an external
gravitational potential reduces to a much simpler one where there is no longer
any gravitational potential in the Schr\"{o}dinger equation. It is instructive
to see that the same procedure can be used for many-body systems subjected to
an external gravitational potential and a two-body interparticle potential that
is a function of the distance between the particles. This topic provides a
helpful and pedagogical example of a quantum many-body system whose dynamics
can be analytically described in simple terms.
Related papers
- Entangled quantum trajectories in relativistic systems [0.0]
A key challenge to be overcome is to consider entanglement between two or more quantum particles in different inertial frames.
We derive a class of Euler--Lagrange equations under the constraint of a non-entangling behavior.
We solve our equations for interacting particles in a Klein--Gordon-type setting, thereby quantifying the dynamic and relativistic impact of entanglement.
arXiv Detail & Related papers (2024-10-08T12:49:44Z) - Entropy production due to spacetime fluctuations [0.0]
We consider a non-relativistic quantum system interacting with gravitational waves.
We employ the consistent histories approach to quantum mechanics to define a fluctuation relation for this system.
As a result, thermodynamic entropy must be produced in the system due to its unavoidable interaction with the quantum fluctuations of spacetime.
arXiv Detail & Related papers (2024-07-30T20:52:32Z) - Table-top nanodiamond interferometer enabling quantum gravity tests [34.82692226532414]
We present a feasibility study for a table-top nanodiamond-based interferometer.
By relying on quantum superpositions of steady massive objects our interferometer may allow exploiting just small-range electromagnetic fields.
arXiv Detail & Related papers (2024-05-31T17:20:59Z) - Testing Quantum Gravity using Pulsed Optomechanical Systems [13.650870855008112]
We consider the Schr"odinger-Newton (SN) theory and the Correlated Worldline (CWL) theory, and show that they can be distinguished from conventional quantum mechanics.
We find that discriminating between the theories will be very difficult until experimental control over low frequency quantum optomechanical systems is pushed further.
arXiv Detail & Related papers (2023-11-03T17:06:57Z) - Reentrant phase behavior in systems with density-induced tunneling [0.0]
We study a quantum bosonic two-dimensional many body system with extended interactions between particles.
Analytical calculations show that the system can be driven out of its coherent state, which is prevalent among commonly used setups.
The breakdown of quantum coherence is inevitable, but can be misinterpreted if one assumes improper coupling between the constituents of the many particle system.
arXiv Detail & Related papers (2023-08-31T03:24:28Z) - Quantum Instability [30.674987397533997]
We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system.
An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
arXiv Detail & Related papers (2022-08-05T19:53:46Z) - Coupling Quantum Matter and Gravity [0.0]
We consider the question how the Hamiltonian of a composite two-particle system in an external gravitational field can be computed in a systematic post-Newtonian setting without backreaction.
We consider the question of how quantum matter may act as source for classical gravitational fields via the semiclassical Einstein equations.
arXiv Detail & Related papers (2022-07-11T17:31:30Z) - Quantum nonreciprocal interactions via dissipative gauge symmetry [18.218574433422535]
One-way nonreciprocal interactions between two quantum systems are typically described by a cascaded quantum master equation.
We present a new approach for obtaining nonreciprocal quantum interactions that is completely distinct from cascaded quantum systems.
arXiv Detail & Related papers (2022-03-17T15:34:40Z) - Nonlocality, entropy creation, and entanglement in quantum many-body
systems [0.0]
We propose a reinterpretation and reformulation of the single-particle Green's function in nonrelativistic quantum many-body theory.
We postulate that the multiplicity of each quantized solution is directly related to the ensemble averaged spectrum and the entropy created by measurement of the particle.
arXiv Detail & Related papers (2021-01-04T14:08:30Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - Sample-efficient learning of quantum many-body systems [17.396274240172122]
We study the problem of learning the Hamiltonian of a quantum many-body system given samples from its Gibbs state.
We give the first sample-efficient algorithm for the quantum Hamiltonian learning problem.
arXiv Detail & Related papers (2020-04-15T18:01:59Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.