Coupling Quantum Matter and Gravity

Domenico Giulini; André Großardt; Philip K. Schwartz

doi:10.1007/978-3-031-31520-6_16

Coupling Quantum Matter and Gravity

Domenico Giulini, André Großardt, Philip K. Schwartz^*

^*Korrespondierende*r Autor*in für diese Arbeit

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung

Abstract

In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussion and then move on to two more technical sections. In the first technical part 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. This enables us to reliably estimate the consistency and completeness of less systematic and more intuitive approaches that attempt to solve this problem by adding ‘relativistic effects’ by hand. In the second technical part we consider the question of how quantum matter may act as source for classical gravitational fields via the semiclassical Einstein equations. Statements to the effect that this approach is fundamentally inconsistent are critically reviewed.

Originalsprache	Englisch
Titel des Sammelwerks	Modified and Quantum Gravity
Untertitel	From Theory to Experimental Searches on All Scales
Herausgeber/-innen	Christian Pfeifer, Claus Lämmerzahl
Erscheinungsort	Cham
Herausgeber (Verlag)	Springer, Cham
Kapitel	16
Seiten	491-550
Seitenumfang	60
ISBN (elektronisch)	978-3-031-31520-6
ISBN (Print)	978-3-031-31519-0
DOIs	https://doi.org/10.1007/978-3-031-31520-6_16
Publikationsstatus	Veröffentlicht - 1 Okt. 2023

Publikationsreihe

Name	Lecture Notes in Physics
Herausgeber (Verlag)	Springer
Band	1017
ISSN (Print)	0075-8450
ISSN (elektronisch)	1616-6361

ASJC Scopus Sachgebiete

Physik und Astronomie (sonstige)

Zugriff auf Dokument

10.1007/978-3-031-31520-6_16

https://arxiv.org/abs/2207.05029Lizenz: Arxiv nonexclusive-distrib 1.0

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

DQ-mat: Sonderforschungsbereich 1227/2: Designte Quantenzustände der Materie - Erzeugung, Manipulation und Detektion für metrologische Anwendungen und Tests fundamentaler Physik
Schmidt, P. O. (Projektleiter*in (Principal Investigator))
1 Juli 2020 → 30 Juni 2024
Projekt: Forschung
DQ-mat: Sonderforschungsbereich 1227/2, Teilprojekt A05: Theorie der LMT-Atominterferometer in Gravitationsfeldern
Gaaloul, N. (Projektleiter*in (Principal Investigator)), Giulini, D. (Projektleiter*in (Principal Investigator)) & Hammerer, K. J. (Projektleiter*in (Principal Investigator))
1 Juli 2020 → 30 Juni 2024
Projekt: Forschung
QuantumFrontiers: Exzellenzcluster 2123/1: Licht und Materie an der Quantengrenze
Schmidt, P. O. (Projektleiter*in (Principal Investigator)), Ospelkaus-Schwarzer, S. (Projektleiter*in (Principal Investigator)), Chichkov, B. (Projektleiter*in (Principal Investigator)), Danzmann, K. (Projektleiter*in (Principal Investigator)), Ertmer, W. (Projektleiter*in (Principal Investigator)), Hammerer, K. J. (Projektleiter*in (Principal Investigator)), Haug, R. (Projektleiter*in (Principal Investigator)), Heinzel, G. (Projektleiter*in (Principal Investigator)), Heurs, M. (Projektleiter*in (Principal Investigator)), Klempt, C. (Projektleiter*in (Principal Investigator)), Kroker, S. (Projektleiter*in (Principal Investigator)), Lisdat, C. (Projektleiter*in (Principal Investigator)), Mehlstäubler, T. (Projektleiter*in (Principal Investigator)), Müller, J. (Projektleiter*in (Principal Investigator)), Ospelkaus, C. (Projektleiter*in (Principal Investigator)), Rasel, E. M. (Projektleiter*in (Principal Investigator)), Recher, P. (Projektleiter*in (Principal Investigator)), Santos, L. S. (Projektleiter*in (Principal Investigator)), Schilling, M. (Projektleiter*in (Principal Investigator)), Schlickum, U. (Projektleiter*in (Principal Investigator)), Schumacher, H. W. (Projektleiter*in (Principal Investigator)), Surzhykov, A. (Projektleiter*in (Principal Investigator)), Waag, A. (Projektleiter*in (Principal Investigator)), Werner, R. (Projektleiter*in (Principal Investigator)) & Willke, B. (Projektleiter*in (Principal Investigator))
1 Jan. 2019 → 31 Dez. 2025
Projekt: Forschung

Dieses zitieren

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title = "Coupling Quantum Matter and Gravity",

abstract = "In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussion and then move on to two more technical sections. In the first technical part 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. This enables us to reliably estimate the consistency and completeness of less systematic and more intuitive approaches that attempt to solve this problem by adding {\textquoteleft}relativistic effects{\textquoteright} by hand. In the second technical part we consider the question of how quantum matter may act as source for classical gravitational fields via the semiclassical Einstein equations. Statements to the effect that this approach is fundamentally inconsistent are critically reviewed.",

author = "Domenico Giulini and Andr{\'e} Gro{\ss}ardt and Schwartz, {Philip K.}",

note = "Funding information: A. G. acknowledges funding from the VolkswagenStiftung. D. G. and P. K. S. acknowledge support from the Deutsche Forschungsgemeinschaft via the Collaborative Research Centre 1227 {\textquoteleft}DQ-mat{\textquoteright}, projects A05 and B08, at Leibniz University Hannover. All three authors would like to thank the organisers of the 740th WE-Heraeus-Seminar {\textquoteleft}Experimental Tests and Signatures of Modified and Quantum Gravity{\textquoteright} for the opportunity to present and discuss the topics which laid the foundation for this work.",

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pages = "491--550",

editor = "Christian Pfeifer and Claus L{\"a}mmerzahl",

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}

Coupling Quantum Matter and Gravity. / Giulini, Domenico; Großardt, André; Schwartz, Philip K.
Modified and Quantum Gravity: From Theory to Experimental Searches on All Scales. Hrsg. / Christian Pfeifer; Claus Lämmerzahl. Cham: Springer, Cham, 2023. S. 491-550 (Lecture Notes in Physics; Band 1017).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung

TY - CHAP

T1 - Coupling Quantum Matter and Gravity

AU - Giulini, Domenico

AU - Großardt, André

AU - Schwartz, Philip K.

N1 - Funding information: A. G. acknowledges funding from the VolkswagenStiftung. D. G. and P. K. S. acknowledge support from the Deutsche Forschungsgemeinschaft via the Collaborative Research Centre 1227 ‘DQ-mat’, projects A05 and B08, at Leibniz University Hannover. All three authors would like to thank the organisers of the 740th WE-Heraeus-Seminar ‘Experimental Tests and Signatures of Modified and Quantum Gravity’ for the opportunity to present and discuss the topics which laid the foundation for this work.

PY - 2023/10/1

Y1 - 2023/10/1

N2 - In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussion and then move on to two more technical sections. In the first technical part 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. This enables us to reliably estimate the consistency and completeness of less systematic and more intuitive approaches that attempt to solve this problem by adding ‘relativistic effects’ by hand. In the second technical part we consider the question of how quantum matter may act as source for classical gravitational fields via the semiclassical Einstein equations. Statements to the effect that this approach is fundamentally inconsistent are critically reviewed.

AB - In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussion and then move on to two more technical sections. In the first technical part 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. This enables us to reliably estimate the consistency and completeness of less systematic and more intuitive approaches that attempt to solve this problem by adding ‘relativistic effects’ by hand. In the second technical part we consider the question of how quantum matter may act as source for classical gravitational fields via the semiclassical Einstein equations. Statements to the effect that this approach is fundamentally inconsistent are critically reviewed.

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SN - 978-3-031-31519-0

T3 - Lecture Notes in Physics

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BT - Modified and Quantum Gravity

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Coupling Quantum Matter and Gravity

Abstract

Publikationsreihe

ASJC Scopus Sachgebiete

Zugriff auf Dokument

Andere Dateien und Links

Projekte

DQ-mat: Sonderforschungsbereich 1227/2: Designte Quantenzustände der Materie - Erzeugung, Manipulation und Detektion für metrologische Anwendungen und Tests fundamentaler Physik

DQ-mat: Sonderforschungsbereich 1227/2, Teilprojekt A05: Theorie der LMT-Atominterferometer in Gravitationsfeldern

QuantumFrontiers: Exzellenzcluster 2123/1: Licht und Materie an der Quantengrenze

Dieses zitieren